%0 Journal Article
%T Existence of weak solutions for degenerate semilinear elliptic equations in unbounded domains
%A Venkataramanarao Raghavendra
%A Rasmita Kar
%J Electronic Journal of Differential Equations
%D 2009
%I Texas State University
%X In this study, we prove the existence of a weak solution for the degenerate semilinear elliptic Dirichlet boundary-value problem $$displaylines{ Lu-mu u g_{1} + h(u) g_{2}= fquad hbox{in }Omega,cr u = 0quad hbox{on }partialOmega }$$ in a suitable weighted Sobolev space. Here the domain $Omegasubsetmathbb{R}^{n}$, $ngeq 3$, is not necessarily bounded, and $h$ is a continuous bounded nonlinearity. The theory is also extended for $h$ continuous and unbounded.
%K Degenerate equations
%K weighted Sobolev space
%K unbounded domain
%U http://ejde.math.txstate.edu/Volumes/2009/160/abstr.html