Curriculum Vitae of James Serrin

JAMES SERRIN

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Ph.D.: Indiana University, 1951

Married: Barbara West 1952

Children:

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University of Minnesota:

Area of Interests


Honors and Awards

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Post-doctoral positions

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Editorial boards

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Publications


Honors and Awards [ back to top ]

Graduate degrees supervised [ back to top ]

Post-doctoral positions [ back to top ]

Visiting positions [ back to top ]

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Invited addresses [ back to top ]

Invited symposia [ back to top ]

Offices held in professional societies [ back to top ]

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Publications [ back to top ]

  1. Free boundaries and jets in the theory of cavitation, (with David Gilbarg). Journal of Mathematics and Physics, vol. 29 (1950), pp. 1-12.
  2. Uniqueness theorems for two free boundary problems. American Journal of Mathematics, vol. 74 (1952), pp. 492-506.
  3. Existence theorems for some hydrodynamical free boundary problems. Journal of Rational Mechanics and Analysis, vol. 1 (1952), pp. 1-48.
  4. Two hydrodynamical comparison theorems. Journal of Rational Mechanics and Analysis, vol. 1 (1952), pp. 563-572.
  5. Notes on hydrodynamics. Photoprinted by Princeton University under Office of Naval Research contract, (1952), 218 pages.
  6. On plane and axially symmetric free boundary problems. Journal of Rational Mechanics and Analysis, vol. 2 (1953), pp. 563-575.
  7. A note on the wave equation. Proceedings of the American Mathematical Society, vol. 5 (1954), pp. 307-308.
  8. Comparison theorem for subsonic flows. Journal of Mathematics and Physics; vol. 23, pp. 27-45.
  9. On the Phragmen-Lindelo"f theorem for elliptic partial differential equations. Journal of Rational Mechanics and Analysis, vol. 3 (1954), pp. 395-413.
  10. A uniqueness theorem for the parabolic equation tex2html_wrap_inline223. Bulletin of the American Mathematical Society, vol. 60 (1954), p. 344.
  11. Uniqueness of axially symmetric subsonic flow past a finite body (with David Gilbarg). Journal of Rational Mechanics and Analysis, vol. 4 (1955), pp. 169-175.
  12. A characterization of regular boundary points for second order linear differential equations. Bulletin of the American Mathematical Society, vol. 61 (1955), p. 224.
  13. On the Harnack inequality for linear elliptic equations. Journal d'Analyse Mathematique, vol. 4 (1956), pp. 292-308.
  14. On isolated singularities of solutions of second order linear elliptic equations (with David Gilbarg). Journal d'Analyse Mathematique, vol. 4 (1956), pp. 309-340.
  15. A note on harmonic functions defined in a half-plane. Duke Mathematical Journal, vol. 24 (1956), pp. 523-526.
  16. On the Holder continuity of quasi-conformal and elliptic mappings (with R. Finn). Transactions of the American Mathematical Society, vol. 89 (1958), pp. 1-15.
  17. Mathematical principles of classical fluid mechanics. (Monograph) In Handbuch der Physik, vol. VIII/1 (1959), pp. 125-263. Russian translation: Foreign Literature Publishing House, Moscow 1963 (265 pages).
  18. On the stability of viscous fluid motion. Archive for Rational Mechanics and Analysis, vol. 3 (1959), pp. 1-13.
  19. A note on the existence of periodic solutions of the Navier-Stokes equations. Archive for Rational Mechanics and Analysis, vol. 3 (1959), pp. 120-122.
  20. On the uniqueness of compressible fluid motions. Archive for Rational Mechanics and Analysis, vol. 3 (1959), pp. 271-288.
  21. On the derivation of stress-deformation relations for a Stokesian fluid. Journal of Mathematics and Mechanics, vol. 8 (1959), pp. 459-470.
  22. Poiseuille and Couette flow of non-Newtonian fluids. Zeitschrift for Angewandte Mathematik und Mechanik, vol. 39 (1959), pp. 295-299.
  23. On a fundamental theorem of the calculus of variations. Acta Mathematica, vol. 102 (1959), pp. 1-22.
  24. A new definition of the integral for non-parametric problems in the calculus of variations. Acta Mathematica, vol. 102 (1959), pp. 23-32.
  25. The exterior Dirichlet problem for second order elliptic equations (with Norman Meyers). Journal of Mathematics and Mechanics, vol. 9 (1960), pp. 513-538.
  26. On the area of curved surfaces. American Mathematical Monthly, vol. 68 (1961), pp. 435-440.
  27. On the differentiability of functions of several variables. Archive for Rational Mechanics and Analysis, vol. 7 (1961), pp. 359-372.
  28. On the definition and properties of certain variational integrals. Transactions of the American Mathematical Society, vol. 101 (1961), pp. 139-167.
  29. On the entropy change through a shock layer (with Y.C. Whang). Journal of Aerospace Sciences, vol. 28 (1961), pp. 990-991.
  30. Dirichlet's principle in the calculus of variations. Proceedings of Symposia in Pure Mathematics, vol. IV, pp. 17-22, Providence, 1961.
  31. Interior estimates for solutions of the Navier-Stokes equations. In "Partial Differential Equations and Continuum Mechanics", edited by R. Langer, pp. 376-378, University of Wisconsin Press, 1961.
  32. On the interior regularity of weak solutions of the Navier-Stokes equations. Archive for Rational Mechanics and Analysis, vol. 9 (1962), pp. 187-195.
  33. Strong convergence in a product space. Proceedings of the American Mathematical Society, vol. 13 (1962), pp. 651-655.
  34. The initial value problem for the Navier-Stokes equations. In "Nonlinear problems", edited by R.E. Langer, pp. 69-98, University of Wisconsin Press, Madison, 1963.
  35. Variational problems of minimal surface type, I (with Howard Jenkins): Archive for Rational Mechanics and Analysis, vol. 12 (1963), pp. 185-212.
  36. A Harnack inequality for non-linear equations. Bulletin of the American Mathematical Society, vol. 69 (1963), pp. 481-486.
  37. Comparison and averaging methods in mathematical physics. Department of Mathematics, University of Minnesota, 1963. Also CIME publication, Rome Istituto Mat. dell'Universita, Edizioni Cremonese, 1965, 87 pages.
  38. A priori estimates for solutions of the minimal surface equation. Archive for Rational Mechanics and Analysis, vol. 14 (1963), pp. 376-383.
  39. Mathematical Aspects of Boundary Layer Theory, notes taken by H.K. Wilson, Department of Mathematics, University of Minnesota, Minneapolis 1963 (131 pages, multiplied typescript).
  40. Sublinear functions of measures and variational integrals (with C. Goffman), Duke Mathematical Journal, vol. 31 (1964), pp. 159-178.
  41. Local behavior of solutions of quasi-linear equations. Acta Mathematica, vol. III (1964), pp. 247-302.
  42. H = W (with Norman Meyers). Proceedings of the National Academy of Sciences, vol. 51 (1964), pp. 1055-1056.
  43. Removable singularities of solutions of elliptic equations. Archive for Rational Mechanics and Analysis, vol. 17 (1964), pp. 67-78.
  44. Pathological solutions of elliptic differential equations. Annali Scuola Normale Superiere di Pisa, Sci. Fis. Math., vol. 18 (1964), pp. 385-387.
  45. Singularities of solutions of nonlinear equations. Proceedings of Symposia in Pure Mathematics, vol. 17, pp. 68-88. Providence, 1965.
  46. Isolated singularities of solutions of quasi-linear equations. Acta Mathematica, vol. 113 (1965), pp. 219-240.
  47. Theory of differentiation. Department of Mathematics, University of Minnesota, 1965, 135 pages.
  48. Removable singularities of solutions of elliptic differential Equations, II. Archive for Rational Mechanics and Analysis, vol. 20 (1965), pp. 163-169.
  49. The Dirichlet problem for the minimal surface equation with infinite data (with Howard Jenkins). Bulletin of the American Mathematical Society, vol. 72 (1966), pp. 102-106.
  50. Variational problems of minimal surface type, II: Boundary value problems for the minimal surface equation (with Howard Jenkins). Archive for Rational Mechanics and Analysis, vol. 21 (1966), pp. 321-342.
  51. Isolated singularities of solutions of linear elliptic equations (with H. Weinberger). American Journal of Mathematics, vol. 88 (1966), pp. 258-272.
  52. Local behavior of solutions of quasi-linear parabolic equations (with D.G. Aronson). Archive for Rational Mechanics and Analysis, vol. 25 (1967), pp. 81-122.
  53. A maximum principle for nonlinear parabolic equations (with D.G. Aronson). Annali Scuola Normale Superieure di Pisa, Sci. Fis. Mat., vol. 21 (1967), pp. 291-305.
  54. The Dirichlet problem for quasi-linear elliptic equations with many independent variables. Proceedings of the National Academy of Science, vol. 58 (1967), pp. 1829-1835.
  55. On the non-existence of solutions of the Dirichlet problem for quasi-linear elliptic equations. Notices of the American Mathematical Society, vol. 14, (1967), p. 841.
  56. On the asymptotic behavior of velocity profiles in the Prandtl boundary layer theory. Proceedings of the Royal Society, Series A, vol. 299 (1967), pp. 491-507.
  57. The Dirichlet problem for the minimal surface equation in higher dimensions (with H. Jenkins). Journal fur die reine und angewandte Mathematik, vol. 223 (1968), pp. 170-187.
  58. Addendum to "A priori estimates for solutions of the minimal surface equation". Archive for Rational Mechanics and Analysis, vol. 28 (1968), pp. 149-154.
  59. On the mathematical basis of Prandtl's boundary layer theory: an example. Archive for Rational Mechanics and Analysis, vol. 28 (1968). pp. 217-225.
  60. Variational problems of minimal surface type, III: The Dirichlet problem with infinite data (with Howard Jenkins). Archive for Rational Mechanics and Analysis, vol. 29 (1968), pp. 304-322.
  61. The behavior of similar solutions in a compressible boundary layer (with J.B. McLeod). Journal of Fluid Mechanics, 34 (1968), pp. 337-342.
  62. A new proof in differentiation theory. Notices of the American Mathematical Society, vol. 15 (1968), p. 1036. Abstract. See also Rudin, W.: Real and Complex Analysis, Second Edition (McGraw-Hill, 1974), pp. xii and 435, and pp. 162-167.
  63. A general chain rule for derivatives and the change of variables formula for the Lebesgue integral (with D.E. Varberg). American Mathematical Monthly, vol. 76 (1969), pp. 514-520.
  64. The existence of similar solutions for some laminar boundary layer problems, (with J.B. McLeod). Archive for Rational Mechanics and Analysis, vol. 31 (1969), pp. 288-303.
  65. The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables. Philosophical Transactions of the Royal Society, vol. A264 (1969), pp. 413-496.
  66. On surfaces of constant mean curvature which span a given space curve. Mathematische Zeitschrift, vol. 88 (1969), pp. 77-88.
  67. Existence theorems for some compressible boundary layer problems. Proc. of the Conference on Qualitative Theory of Nonlinear Differential and Integral Equations, SIAM studies in Applied Mathematics, vol. 5 (1970), pp. 35-42.
  68. The Dirichlet problem for surfaces of constant mean curvature, Proceedings of the London Mathematical Society, vol. 21 (1970), pp. 361-384.
  69. On the strong maximum principle for nonlinear second order differential inequalities. Journal of Functional Analysis, vol. 5 (1970), pp. 184-193.
  70. Recent developments in the mathematical aspects of boundary layer theory. International Journal of Engineering Sciences, vol. 9 (1971), pp. 233-240.
  71. Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form (with Jim Douglas, Jr., and Todd Dupont). Archive for Rational Mechanics and Analysis, vol. 42 (1971), pp. 157-168.
  72. The swirling vortex. Philosophical Transactions of the Royal Society of London, vol. 271 (1972), pp. 325-360.
  73. Boundary curvatures and the solvability of Dirichlet's Problem. Proceedings of the International congress of Mathematicians, vol. 2, (1970), pp. 867-875.
  74. A symmetry problem in potential theory. Archive for Rational Mechanics and Analysis, vol. 43 (1971), pp. 304-318.
  75. Gradient estimates for solutions of nonlinear elliptic and parabolic equations, In "Contributions to Nonlinear Functional Analysis", edited by E. Zarantonello, pp. 565-601, Univ. of Wisconsin Press, Madison, 1971.
  76. Nonlinear elliptic equations of second order. Lectures at Symposium on Partial Differential Equations, Berkeley, 1971. Mimeographed notes, 57 pages.
  77. Entire solutions of nonlinear Poisson equations. Proceedings London Mathematical Society, vol. 24 (1972), pp. 348-366.
  78. A note on the preceding paper of Amann. Archive for Rational Mechanics and Analysis, vol. 44 (1972), pp. 182-186.
  79. Rectilinear steady flow of simple fluids (with R.L. Fosdick). Proceedings Royal Society London, vol. 332 (1973), pp. 311-333.
  80. Liouville Theorems for nonlinear Poisson equations. Proceedings of the Convegno Internazionale sul Metodi Valutativi nella Fisica-Matematica, Rome, Accademia Lincei, 1975, pp. 207-215.
  81. Doomsday: on target? Science Magazine, vol. 189, (1975), pp 86-87.
  82. Global properties of continuum thermodynamic processes (with R.L. Fosdick). Archive for Rational Mechanics and Analysis, vol. 59 (1975), pp. 97-109.
  83. Foundations of classical thermodynamics. Lecture Notes, Department of Mathematics, University of Chicago, 1975. 223 pages.
  84. Curvature inequalities for surfaces over a disk (with H.F. Weinberger). In "Some problems of Mathematics and Mechanics" (M.A. Lavrentieff Anniversary Volume, edited by the Siberian Branch of the Akademia Nauk USSR), pp. 242- 250. English version: American Mathematical Society Translation 104 (1976), pp. 223-231.
  85. The solvability of boundary value problems: Hilbert's Twentieth Problem. In "Mathematical Developments Arising from Hilbert Problems", Proc. Symp. Pure Math., vol. 28, American Mathematical Society, Providence, 1976; pp. 507-524.
  86. Liouville theorems and gradient bounds for quasilinear elliptic systems. Arch. Rational Mech. Anal. 66 (1977), pp. 295-310.
  87. Optimal shapes for brittle beams under torsion (with H.F. Weinberger). In "Complex Analysis and its Applications", Steklov Institute (Acad. of Sciences) Jubilee Volume for I.Y. Vekua. Nauka Moscow 1978, pp. 88-91.
  88. Gradient estimates and Liouville theorems for quasilinear elliptic equations (with L.A. Peletier). Annali della Scuola Normale Superiore, Pisa, 5 (Series IV), 1978, pp. 65-104.
  89. The concepts of thermodynamics. In "Proc. Int. Symp. on Continuum Mechanics and Partial Differential Equations". North Holland Publishing Co., 1978, pp. 411-451.
  90. On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids (with R.L. Fosdick). Journal of Elasticity 9 (1979), pp. 83-89.
  91. Conceptual analysis of the classical second laws of thermodynamics. Archive for Rational Mechanics and Analysis, 70 (1979), 254-272.
  92. The foundations of thermodynamics. Gaz. Math. de Univ. Montreal, IV, No. 4 (1979), pp. 3-12.
  93. Foundations of thermodynamics, Lecture Notes, University of Naples, 1979. (150 pages).
  94. Phase transitions and interfacial layers for van der Waals fluids. In "Recent Methods in Nonlinear Analysis and Applications", Proceedings of the Fourth International Meeting of SAFA, eds. A. Canfora et al (Liguori Editore, Naples, Italy), pp. 169-175.
  95. The second law of thermodynamics for systems with approximate cycles (with Bernard D. Coleman and David R. Owen), Archive for Rational Mechanics and Analysis, 77 (1981), pp. 103-142.
  96. Uniqueness of solutions of semilinear Poisson equations (with K. McLeod). Proc. Natl. Acad. Sciences USA, 78 (1981), pp. 6592-6598.
  97. The form of interfacial surfaces in Korteweg's theory of phase equilibria. Quarterly of Applied Mathematics, 41 (1983), pp. 357-364.
  98. The mechanical theory of fluid interfaces and Maxwell's rule (with E. Aifantis). J. Coll. Interface Sci., 96 (1983), pp. 519-529.
  99. Equilibrium solutions in the mechanical theory of fluid microstructures (with E. Aifantis). J. Coll. Interface Sci., 96 (1983), pp. 530-547.
  100. The structure and laws of thermodynamics. Proc. International Congress of Mathematicians, Warsaw 1983, pp. 1717-1728.
  101. Uniqueness of positive solutions of semilinear equations in tex2html_wrap_inline225 (with L.A. Peletier). Archive for Rational Mechanics and Analysis 81 (1983), pp. 181-197.
  102. Applied mathematics and scientific thought. In "Nonlinear Anaysis and Optimization", Lecture Notes in Mathematics, vol. 1107 (1984), pp. 19-27.
  103. Extensions of the mountain pass theorem (with P. Pucci). Journal of Functional Analysis, 59 (1984), pp. 185-210.
  104. One-dimensional shock layers in Korteweg Fluids (with R. Hagan). In "Phase Transformations and Material Instabilities in Solids", Academic Press, 1984, pp. 113-128.
  105. On the thermomechanics of interstitial working (with J.E. Dunn). Arch. Rational Mech. Anal. 88 (1985), pp. 95-133.
  106. A continuum model for chemical mixture dynamics. Proc. Nineteenth Midwestern Mechanics Conference. Columbus, Ohio (1985) pp. 59-64.
  107. Non-existence theorems for quasilinear partial differential equations (with W.-M. Ni). Supplemento di Rendiconti Circolo Matematico di Palermo, 8 (1985), pp. 171-185.
  108. Esistenza e unicita degli stati fondamentali per equazioni ellittiche quasilineare (with B. Franchi and E. Lanconelli). Rome, Rendiconti Acc. Naz. dei Lincei, Series 8, 79 (1985), pp 121-126.
  109. A mountain pass theorem (with P. Pucci). Journal of Differential Equations, 60 (1985), pp. 142-149.
  110. An outline of thermodynamical structure. In "New Perspectives in Thermodynamics", edited by J. Serrin, Springer-Verlag, 1986, pp. 3-32.
  111. Dynamic changes of phase in a van der Waals fluids (with R. Hagan). In "New Perspectives in Thermodynamics", Springer-Verlag, 1986, pp. 241-260.
  112. Uniqueness of non-negative solutions of semilinear equations in tex2html_wrap_inline225 (with L.A. Peletier). Journal of Differential Equations, 61 (1986), pp. 380-397.
  113. A general variational identity (with P. Pucci). Indiana Univ. Mathematics Journal, 35 (1986), pp. 681-703.
  114. Existence and non-existence theorems for ground states of quasilinear partial differential equations. The anomalous case (with W.-M. Ni). Rome, Acc. Naz. dei Lincei, Atti dei Convegni, vol. 77 (1986), pp. 231-257.
  115. Non-existence of singular solutions of quasilinear partial differential equations (with W.-M. Ni). Communications on Pure and Applied Mathematics, 39 (1986), pp. 379-399.
  116. The structure of the critical set in the mountain pass theory (with P. Pucci). Transactions American Mathematical Society, 229 (1987), pp. 115-132.
  117. The laws of thermodynamics. Res Mechanica, 21 (1987), pp 361-379.
  118. Uniqueness of positive radial solutions of tex2html_wrap_inline229 in tex2html_wrap_inline225 (with K. McLeod). Archive for Rational Mechanics and Analysis, 99 (1987), pp. 115-145.
  119. Ground states for a prescribed mean curvature equation (with L.A. Peletier). Proceedings American Mathematical Society, 100 (1987), pp. 694-700.
  120. Positive solutions of a prescribed mean curvature equation. Lecture Notes in Mathematics, Volume 1340, 1988, "Calculus of Variations and Partial Differential Equations", pp. 248-255.
  121. Nonlinear diffusion equations and their equilibrium states (I),(II). MSRI Publications, vols 12,13. Springer-Verlag, 88. Co-edited with W.-M. Ni and L.A. Peletier.
  122. Ground states for the prescribed mean curvature equation: the supercritical case, (with F.V. Atkinson and L.A. Peletier). Nonlinear Diffusion Equations and their Equilibrium States, (I), MSRI Publications, vol. 12, pp. 51-74. Springer-Verlag, 1988.
  123. Existence and uniqueness of ground states of quasilinear elliptic equations (with B. Franchi and E. Lanconelli) Proceedings of Conference on Diffusion Equations and their Equilibrium States, Vol. I, MSRI Publications, vol. 12, pp. 293-300. Springer-Verlag, 1988.
  124. Remarks on the first eigenspace for polyharmonic operators (with P. Pucci). Atti del Seminario Matematico e Fisico dell' Universita' di Modena, 36 (1988), pp. 107-118.
  125. Asymptotic properties for solutions of strongly nonlinear ordinary differential equations (with P. Pucci). Proceedings of Conference on Differential Equations and Geometry, Rendiconti Seminario Matematica dell' Universita Politecnico di Torino, Fasc. Speciale 1989, pp. 121-129.
  126. Critical exponents and critical dimensions for the polyharmonic operator (with P. Pucci). Journal de Mathematiques Pures et Appliques, 69 (1990), pp. 55-83.
  127. Continuation and limit properties for solutions of strongly nonlinear second order differential equations (with P. Pucci). Asymptotic Analysis, 4 (1991), pp. 97-160.
  128. Estimates for vertical points of solutions of prescribed mean curvature type equations, II (with F.V. Atkinson and L.A. Peletier). Asymptotic Analysis, 4 (1991), pp.283-310.
  129. Nonlinear diffusion equations and their equilibrium states, vol 3. Birkhauser, Basle-Boston, 1992. Co-edited with N.G. Lloyd, W.-M. Ni and L.A. Peletier.
  130. Global asymptotic stability for strongly nonlinear second order systems (with P. Pucci). In "Nonlinear Diffusion Equations and their Equilibrium States", vol 3, (1992), pp. 437-449. Birkhauser, Basle-Boston.
  131. The nature of thermodynamics. Atti del Seminario Matematico e Fisico dell' Universita di Modena, 39 (1991), 445-472.
  132. Italian translation of 128. Sulla natura della termodinamica. Atti e Memorie della Accademia Naz. di Scienze Lettere e Arti di Modena. Ser VII, 7 (1992), pp. 185-202.
  133. Existence and non-existence results for ground states of quasilinear elliptic equations (with H. Zou). Archive for Rational Mechanics and Analysis, 121 (1992), pp. 101-130.
  134. Precise damping conditions for global asymptotic stability for nonlinear second order systems (with P. Pucci). Acta /Mathematica, 170 (1993), 275-307.
  135. Continuation and limit behavior for damped quasi-variational systems (with P. Pucci). Proceedings of Conference on Degenerate Diffusions, Institute for Mathematics and its Applications, vol. 47, (1993), pp.157-174.
  136. The equations of continuum mechanics as a consequence of group invariance. In "Advances in Continuum Mechanics", edited by G. Ferrarese, Pitagora Editrice, Bologna, 1993, pp. 217-225.
  137. Asymptotic behavior of solutions of a nonstandard second order differential equation (with W.A. Harris and P. Pucci). Differential and Integral Equations, 6 (1993), pp. 1201-1215.
  138. Ground states of degenerate Laplace equations (with H. Zou). In "Differential Equations with Applications to Mathematical Physics", volume 192, pp.287-305. Academic Press, 1993.
  139. Asymptotic integration of damped second order systems (with Henghui Zou). Amer. J. Mathematics, 116 (1994), pp. 1241-1264.
  140. A bifurcation problem at a singular limit (with F. Merle and L.A. Peletier). Indiana Univ. J. Math., 43 (1994), pp. 585-605.
  141. Precise damping conditions for global asymptotic stability of nonlinear second order systems, II. (with P. Pucci). J. Differential Equations, 113 (1994), pp. 505-534.
  142. Asymptotic stability for intermittently controlled nonlinear oscillators (with P. Pucci). SIAM Journal of Applied Mathematics, 25 (1994), pp. 815-835.
  143. Asymptotic estimates for a nonstandard second order differential equation (with W.A. Harris and P. Pucci). Anniversary volume in honor of Lawrence Markus, edited by K. Elworthy, W.N. Everitt, E.B. Lee, Marcel Dekker, New York 1994, pp. 75-85.
  144. Space, time and energy. Lectio Doctoralis, University of Ferrara. Honoris Causa, Univ. degli Studi di Ferrara 1995, pp. 195-208.
  145. Reflections on mathematics, Lectio Doctoralis, University of Padova. In L'Anno Galileiano, Vol. I, Edizioni Lint, Trieste 1995, pp. 120-124.
  146. On the derivation of Hamilton's equations (with P. Pucci). Archive for Rational Mechanics and Analysis, 125 (1994), pp. 297-310.
  147. Ground states of a quasilinear equation (with L.A. Peletier and H. Zou). Differential and Integral Equations, 7 (1994), pp. 1063-1082.
  148. A numerical study of the existence and non-existence of ground states and their bifurcation for the equations of Chipot and Weissler (with Yin Yan and Henghui Zou). Unpublished, 1994.
  149. Remarks on Lyapunov stability (with P. Pucci). Differential and Integral Equations, 8 (1995), pp. 1265-1278.
  150. Asymptotic stability for ordinary differential systems with time dependent restoring potentials (with P. Pucci). Archive for Rational Mechanics and Analysis, 132 (1995), pp. 207-232.
  151. Classification of positive solutions of quasilinear elliptic equations (with H. Zou). Topological Methods in Nonlinear Analysis, 3 (1994), pp. 1-26.
  152. Non-existence of positive solutions of semilinear elliptic systems (with H. Zou). In "Discourses in Mathematics and its Applications", volume 3, pp. 56-69. Texas A&M University, College Station, 1994.
  153. On the elementary thermodynamics of quasistatic systems and other remarks. In "Thermoelastic Problems and the Thermodynamics of Continua", AMD-Vol. 198, pp. 53-62. American Society of Mechanical Engineers, Applied Mechanics Division, 1995.
  154. Existence and uniqueness of ground states of quasilinear elliptic equations (with B. Franchi and E. Lanconelli). Advances in Mathematics, 118 (1996), pp. 177-243.
  155. Asymptotic stability for non-autonomous dissipative wave systems (with P. Pucci). Communications on Pure and Applied Mathematics, 49 (1996), pp. 177-216.
  156. Asymptotic stability for nonlinear parabolic systems (with P. Pucci). Energy Methods in Continuum Mechanics, edited by S.N. Antonsev, J.L. Diaz and S.I. Shmarev, pp. 66-74, Kluwer Publishers, 1996.
  157. Global non-existence theorems for quasilinear evolution equations with dissipation (with H. Levine). Arch. Rational Mechanics and Analysis, 137 (1997), pp. 341-361.
  158. Stability for abstract evoluation equations (with P. Pucci). In "Partial Differential Equations and Applications. Collected papers in Honor of Carlo Pucci", vol. 177, Lecture Notes in Pure and Applied Mathematics, edited by P. Marcelli, G. Talenti and E. Vesentini, pp. 279-288, Marcel Dekker, New York, 1996.
  159. The equations of continuum mechanics and the laws of thermodynamics. Meccanica, 31 (1996), pp. 547-563.
  160. Non-existence of positive solutions of Lane-Emden systems (with H. Zou). Differential and Integral Equations, 9 (1996), pp. 635-653.
  161. Quasi-variational systems. In "First World Congress of Nonlinear Analysts '92", edited by V. Lakshmikantham, pp. 2055-2068, De Gruyter, Berlin, 1996.
  162. Existence of positive solutions of the Lane-Emden system (with H. Zou). To appear, Atti del Seminaro Matematico e Fisico dell' Universita' di Modena.
  163. Local asymptotic stability for dissipative wave systems (with P. Pucci). Israel J. of Mathematics, 104 (1998), pp. 29-50.
  164. Stability and blow-up for dissipative evolution equations (with P. Pucci). In Lecture Notes in Pure and Applied Mathematics, vol. 177, ed. by P. Mancelli, et. al., pp. 279-288. M. Dekker, N.Y. 1996.
  165. Some remarks on global non-existence for non-autonomous abstract evolution equations (with H. Levine and P. Pucci). Contemporary Mathematics, 208 (1997), pp.253-263.
  166. Uniqueness of ground states for quasilinear elliptic operators (with P. Pucci). Indiana Univ. Math. J., 47 (1998), 501-522.
  167. Uniqueness of ground states for quasilinear elliptic equations in the exponential case operators (with P. Pucci). Indiana Univ. Math. J., 47 (1998) pp. 523-539,
  168. The existence of positive entire solutions of elliptic Hamiltonian systems (with H. Zou). Comm. Partial Differential Equations, 23 (1998), pp. 577-599.
  169. Global existence and nonexistence theorems for quasilinear evolution equations of formally parabolic type (with M. Levine and S.R. Park). Journal of Differential Equations, 142 (1998), pp. 212-229.
  170. Global existence and global nonexistence of solutions of the Cauchy problem for a nonlinearly damped wave equation (with H. Levine). Journ. Math. Anal. Appl., 228 (1998), pp. 181-205.
  171. Global nonexistence for abstract evolution equations with positive initial energy (with P. Pucci). Journal of Differential Equations, 150 (1998), pp. 203-214.
  172. Symmetry of ground states of quasilinear elliptic equations (with H. Zou). Archive rational Mechanics Analysis, 148 (1999), pp. 265-290.
  173. A strong maximum principle and a compact support principal for singular elliptic inequalities (with P. Pucci and H. Zou). Journal Mathematiques Pures et Appliques, 78 (1999), pp. 769-789.
  174. Existence of ground states and free bundary problems for quasilinear elliptic operators (with F. Gazzola and M.Tang). Advances Differential Equations, 5 (2000) pp. 1-30.
  175. A note on the strong maximum principle for elliptic differential inequalities (with P. Pucci). Journal Mathematiques Pures et Appliques, 79 (2000), pp. 57-71.
  176. Ground states and free bundary problems for the n-Laplacian in n-dimensional space (with M. Garcia-Huidobro, R. Manasevich, M. Tang and C. Yarur). Journal Functional Analysis, 172 (2000), pp. 177-201.
  177. Uniqueness of ground states for quasilinear elliptic equations (with M. Tang). Indiana Univ. Math. J., 49 (2000) pp. 897-923,
  178. Jean Leray's contributions to nonlinear differential equations, fixed point theory and fluid mechanics. Supplement to vol 84, Gazette des Mathematiciens, (2000). pp. 61-70.
  179. Asymptotic behavior of ground states of quasilinear elliptic equations with two vanishing parameters (with F. Gazzola). To appear, Joural Inst. Henri Poincare, 2001.
  180. Cauchy-Liouville and universal boundedness theorems for quasilinear ellptic equations (with H. Zou). To appear, 2002.
  181. The Harnack inequality for quasilinear elliptic equations in two dimensions (with P. Pucci). To appear, 2002.

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