In this paper we study an elliptic equation involving the -Laplace operator on the whole space . For that equation we prove the existence of a nontrivial weak solution using as main argument the mountain pass theorem of Ambrosetti and Rabinowitz.
Submitted June 6, 2006. Published August 22, 2006.
Math Subject Classifications: 35D05, 35J60, 35J70, 58E05, 76A02.
Key Words: p(x)-Laplace operator; Sobolev space with variable exponent; mountain pass theorem; weak solution.
A corrigendum was posted on December 1, 2006. The author restated Hypothesis (F2) and the proof of Theroem 3.2. See the last page of this manuscript.
Show me the PDF file (210K), TEX file, and other files for this article.
| Maria-Magdalena Boureanu |
Department of Mathematics
University of Craiova
200585 Craiova, Romania
Return to the EJDE web page