%0 Journal Article
%T Existence of solutions to nonlocal and singular elliptic problems via Galerkin method
%A Francisco Julio S. A. Correa
%A Silvano D. B. Menezes
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X We study the existence of solutions to the nonlocal elliptic equation $$ -M(|u|^2)Delta u = f(x,u) $$ with zero Dirichlet boundary conditions on a bounded and smooth domain of $mathbb{R}^n$. We consider the $M$-linear case with $fin H^{-1}(Omega )$, and the sub-linear case $f(u)=u^{alpha}$, $0 Keywords Nonlocal elliptic problems --- Galerkin Method.
%K Nonlocal elliptic problems
%K Galerkin Method.
%U http://ejde.math.txstate.edu/Volumes/2004/19/abstr.html