Characterization of solutions to equations involving the p(x)-Laplace operator

Date

2017-11-05

Authors

Stircu, Iulia
Uta, Vasile Florin

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article we study two problems, a nonlinear eigenvalue problem involving the p(x)-Laplacian and a subcritical boundary value problem for the same operator. We work on the variable exponent Sobolev spaces and use one of the variants of the Mountain-Pass Lemma.

Description

Keywords

Nonlinear eigenvalue problem, p(x)-Laplacian, Critical point, Variable exponent Sobolev spaces, Mountain-pass theorem

Citation

Stircu, I. D., & Uţă, V. F. (2017). Characterization of solutions to equations involving the p(x)-Laplace operator. <i>Electronic Journal of Differential Equations, 2017</i>(273), pp. 1-16.

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Attribution 4.0 International

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