Yujin Guo's Publications
|
Papers
in Preparation
1. Y. Guo, Pull-in voltage and dynamic deflection of nonlocal electrostatic MEMS, in preparation (2007).
2. N. Ghoussoub and Y. Guo, Global solutions of singular parabolic equations arising from electrostatic MEMS: higher dimensional case, in preparation (2007).
Publications
and Preprints
1. Y. Guo, Global solutions of singular parabolic equations arising from electrostatic MEMS, J. Diff. Eqns. 245 (2008), 809-844. (pdf)
2. N.
Ghoussoub and Y. Guo, Estimates for the quenching time of a
parabolic equation modeling electrostatic MEMS, submitted (2008). (pdf)
3. Y. Guo, On the partial differential equations of electrostatic MEMS devices III: refined touchdown behavior, J. Diff. Eqns. 244 (2008), 2277-2309. (pdf)
4. N. Ghoussoub and Y. Guo, On the partial differential equations of electrostatic MEMS devices II: dynamic case, NoDEA Nonlinear Diff. Eqns. Appl. 15 (2008), 115-145. (pdf)
5.
Y. Deng, Y. Guo and Y.
Li, Existence and decay properties of positive solutions for an imhomogeneous semilinear elliptic
equation, Proc. R. Soc. Edinb.
6. P. Esposito, N. Ghoussoub and Y. Guo, Compactness along the first branch of unstable solutions for an elliptic problem with a singular nonlinearity, Comm. Pure Appl. Math., 60 (2007), 1731-1768. (pdf)
7.
N. Ghoussoub and Y. Guo, On the partial
differential equations of electrostatic MEMS devices: stationary case,
8. Y. Deng and Y. Guo, Multiple positive solutions for an inhomogeneous semilinear problem in exterior domains, Nonlinear Analysis, 66 (2007), 1388-1409.(pdf)
9. Y. Guo, Z. Pan and M. Ward, Touchdown and pull-in behavior of a MEMS device with varying dielectric properties, SIAM, J. Appl. Math., 66 (2005), 309-338. (pdf)
10. Y. Deng and Y. Guo, Uniqueness of stationary solutions with vacuum of Euler-Poisson equations, Acta Math. Scientia, Ser. B, 23 (2003), 405-415. (pdf)
Research
Monograph
P.Esposito, N.Ghoussoub and Y.Guo, Partial
Differential Equations of Electrostatic MEMS Devices,
Research Monograph,
226 pp.(pdf)