Fan, X.L. and Han, X.Y. (2004) Existence and Multiplicity of Solutions for p(x)-Laplacian Equations in R^N. Nonlinear Analysis, 59, 173-188.
http://dx.doi.org/10.1016/j.na.2004.07.009

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.