Existence and multiplicity of solutions for p(x)-Laplacian equations in R^N

Existence and multiplicity of solutions for p(x)-Laplacian equations in R^N

This article concerns the existence and multiplicity of solutions to a class of p(x)-Laplacian equations. We introduce a revised Ambrosetti-Rabinowitz condition, and show that the problem has a nontrivial solution and infinitely many solutions.

Bibliographic Details
Main Authors: Bin Ge, Qingmei Zhou
Format: Article
Language:English
Published: Texas State University 2014-06-01
Series:Electronic Journal of Differential Equations
Subjects:
p(x)-Laplacian
variational method
radial solution
Ambrosetti-Rabinowitz condition
Online Access:http://ejde.math.txstate.edu/Volumes/2014/133/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2014/133/abstr.html

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