References
- Pelesko JA , Bernstein DH . Modeling MEMS and NEMS. Chapman & Hall/CRC: Boca Raton (FL); 2003. p. 357.
- Regan BJ , Pelesko JA . Symmetry analysis of a canonical MEMS model. Methods Appl Anal. 2008;15:327–339.
- Davila J , Ye D . On finite Morse index solutions of two equations with negative exponent. Proc R Soc Edinburgh. 2013;143A:121–128.
- Du YH , Guo ZM . Positive solutions of an elliptic equation with negative exponent: stability and critical power. J Differ Equ. 2009;246:2387–2414.
- Esposito P , Ghoussoub N , Guo Y . Compactness along the branch of semi-stable and unstable solutions for an elliptic problem with a singular nonlinearity. Commun Pure Appl Math. 2007;LX:1731–1768.
- Ghoussoub N , Guo Y . On the partial differential equations of electrostatic MEMS devices: stationary case. SIAM J Math Anal. 2007;38:1423–1449.
- Guo Y , Pan Z , Ward MJ . Touchdown and pull-in voltage behavior of a MEMS device with varying dielectric properties. SIAM J Appl Math. 2006;166:309–338.
- Guo ZM , Wei JC . Hausdorff dimension of ruptures for solutions of a semilinear elliptic equation with singular nonlinearity. Manuscripta Math. 2006;120:193–209.
- Guo ZM , Wei JC . Symmetry of nonnegative solutions of a semilinear elliptic equation with singular nonlinearity. Proc R Soc Edinburgh. 2007;137A:963–994.
- Guo ZM , Wei JC . Infinitely many turning points for an elliptic problem with a singular nonlinearity. J London Math Soc. 2008;78:21–35.
- Guo ZM , Wei JC . On the Cauchy problem for a reaction-diffusion equation with a singular nonlinearity. J Differ Equ. 2007;240:279–323.
- Feng P , Zhou ZF . Multiplicity and symmetry breaking for positive radial solutions of semilinear elliptic equations modelling MEMS on annular domains. Electron J Differ Equ. 2005;146:1–14.
- Jiang HQ , Ni WM . On steady states of van der Waals force driven thin film equations. Eur J Appl Math. 2007;18:153–180.
- Meadows AM . Stable and singular solutions of the equation Δu=1/u . Indiana Univ Math J. 2004;53:1681–1703.
- Guo ZM , Mei LF . Liouville type results for a p-Laplace equation with negative exponent. Acta Math Sinica English Ser. 2016;32:1515–1540.
- Jacobsen J . The Liouville-Bratu-Gelfand problem for radial operator. J Differ Equ. 2002;184:283–298.
- Deimling K . Nonlinear functional analysis. Berlin: Springer-Verlag; 1985.
- Schmitt K . Positive solutions of semilinear elliptic boundary value problems. In: Granas A , Frigon M , Sabidussi G , editors. Topological methods in differential equations and inclusions (Montreal, PQ, 1994), Dordrecht: Kluwer Academic Publishers; 1995. p. 447–500.