Existence of solutions for an elliptic equation involving the $p(x)$-Laplace operator

In this paper we study an elliptic equation involving the $p(x)$-Laplace operator on the whole space $mathbb{R}^N$. For that equation we prove the existence of a nontrivial weak solution using as main argument the mountain pass theorem of Ambrosetti and Rabinowitz.

Bibliographic Details
Main Author: Maria-Magdalena Boureanu
Format: Article
Language:English
Published: Texas State University 2006-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2006/97/abstr.html