%0 Journal Article
%T Existence and multiplicity of solutions for a singular semilinear elliptic problem in R^2
%A Manasses de Souza
%J Electronic Journal of Differential Equations
%D 2011
%I Texas State University
%X Using minimax methods we study the existence and multiplicity of nontrivial solutions for a singular class of semilinear elliptic nonhomogeneous equation where the potentials can change sign and the nonlinearities may be unbounded in $x$ and behaves like $exp(alpha s^2)$ when $|s| o+infty$. We establish the existence of two distinct solutions when the perturbation is suitable small.
%K Variational methods
%K Trudinger-Moser inequality
%K critical points
%K critical exponents
%U http://ejde.math.txstate.edu/Volumes/2011/98/abstr.html