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

Date

2006-08-22

Authors

Boureanu, Maria-Magdalena

Journal Title

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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.

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Attribution 4.0 International

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