Existence of solutions for an elliptic equation involving the p(x)-Laplace operator
Date
2006-08-22
Authors
Boureanu, Maria-Magdalena
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper we study an elliptic equation involving the p(x)-Laplace operator on the whole space ℝN. For that equation we prove the existence of a nontrivial weak solution using as main argument the mountain pass theorem of Ambrosetti and Rabinowitz.
Description
Keywords
p(x)-Laplace operator, Sobolev space with variable exponent, Mountain Pass Theorem, Weak solution
Citation
Boureanu, M. M. (2006). Existence of solutions for an elliptic equation involving the p(x)-Laplace operator. <i>Electronic Journal of Differential Equations, 2006</i>(97), pp. 1-10.
Rights
Attribution 4.0 International