On semilinear elliptic equation with negative exponent arising from a closed MEMS model

Huyuan Chen, Ying Wang, Feng Zhou

This paper is concerned with the elliptic equation $-\Delta u=\frac{\lambda }{(a-u{)}^p}$ in a connected, bounded $C^2$ domain $\Omega$ of ${\mathbb{R}}^N$ subject to zero Dirichlet boundary conditions,…