%0 Journal Article
%T Existence and Multiplicity of Solutions for Quasilinear p(x)-Laplacian Equations in R<sup>N</sup>
%A Honghong Qi
%A Gao Jia
%J Journal of Applied Mathematics and Physics
%P 1270-1281
%@ 2327-4379
%D 2015
%I Scientific Research Publishing
%R 10.4236/jamp.2015.310156
%X We establish some results on the existence of multiple nontrivial solutions for a class of p(x)-Lap-lacian elliptic equations without assumptions that the domain is bounded. The main tools used in the proof are the variable exponent theory of generalized Lebesgue-Sobolev spaces, variational methods and a variant of the Mountain Pass Lemma.
%K p(x)-Laplacian Operator
%K Generalized Lebesgue-Sobolev Spaces
%K Variational Method
%K Multiple Solutions
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=60686