%0 Journal Article
%T Existence of solutions for quasilinear parabolic equations at resonance
%A Gao Jia
%A Xiao-Juan Zhang
%A Li-Na Huang
%J Electronic Journal of Differential Equations
%D 2013
%I Texas State University
%X In this article, we show the existence of nontrivial solutions for a class of quasilinear parabolic differential equations. To obtain the solution in a weighted Sobolev space, we use the Galerkin method, Brouwer's theorem, and a compact Sobolev-type embedding theorem proved by Shapiro.
%K Weighted Sobolev space
%K quasilinear parabolic equation
%K resonance
%U http://ejde.math.txstate.edu/Volumes/2013/13/abstr.html