%0 Journal Article
%T Weak solutions for degenerate semilinear elliptic BVPs in unbounded domains
%A Rasmita Kar
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X In this article, we prove the existence of a weak solution for the degenerate semilinear elliptic Dirichlet boundary-value problem $$displaylines{ Lu(x)+sum_{i=1}^n g(x)h(u(x))D_iu(x)=f(x)quad hbox{in }Omega,cr u=0quad hbox{on }partialOmega, }$$ in a suitable weighted Sobolev space. Here $Omegasubsetmathbb{R}^n$, $1leq nleq3,$ is not necessarily bounded.
%K Semilinear elliptic boundary value problem
%K unbounded domain
%K pseudomonotone operator
%U http://ejde.math.txstate.edu/Volumes/2012/43/abstr.html