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has been cited by the following article:

• TITLE: Existence and Multiplicity of Solutions for Quasilinear p(x)-Laplacian Equations in RN

  AUTHORS: Honghong Qi, Gao Jia

  KEYWORDS: p(x)-Laplacian Operator, Generalized Lebesgue-Sobolev Spaces, Variational Method, Multiple Solutions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.10, October 28, 2015

  ABSTRACT: 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.