Open Access Research

Existence of solutions for a differential inclusion problem with singular coefficients involving the p(x)-Laplacian

Guowei Dai*, Ruyun Ma and Qiaozhen Ma

Author Affiliations

Department of Mathematics, Northwest Normal University, Lanzhou 730070, P.R. China

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Boundary Value Problems 2012, 2012:11 doi:10.1186/1687-2770-2012-11

Published: 9 February 2012

Abstract

Using the non-smooth critical point theory we investigate the existence and multiplicity of solutions for a differential inclusion problem with singular coefficients involving the p(x)-Laplacian.

Mathematics Subject Classification 2000: 35D05; 35J20; 35J60; 35J70.

Keywords:
p(x)-Laplacian; differential inclusion; singularity