Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian

Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian

In this paper, we prove the existence of at least two nontrivial solutions for a nonlinear elliptic problem involving p(x)-Laplacian-like operator and nonsmooth potentials. Our approach is variational and it is based on the nonsmooth critical point theory for locally Lipschitz functions.

Bibliographic Details
Main Author: Qing-Mei Zhou
Format: Article
Language:English
Published: University of Szeged 2013-11-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
p(x)-laplacian-like
differential inclusion
nonlinear eigenvalue problem
multiple solutions
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2542

Internet

http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2542

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