Abstract and Applied Analysis

Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces

Bilal Cekic and Rabil A. Mashiyev

Full-text: Open access

Abstract

In this paper, by means of adequate variational techniques and the theory of the variable exponent Sobolev spaces, we show the existence of nontrivial solution for a transmission problem given by a system of two nonlinear elliptic equations of p ( x ) -Kirchhoff type with nonstandard growth condition.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 385048, 12 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313170950

Digital Object Identifier
doi:10.1155/2010/385048

Mathematical Reviews number (MathSciNet)
MR2771233

Zentralblatt MATH identifier
1216.35162

Citation

Cekic, Bilal; Mashiyev, Rabil A. Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces. Abstr. Appl. Anal. 2010 (2010), Article ID 385048, 12 pages. doi:10.1155/2010/385048. https://projecteuclid.org/euclid.aaa/1313170950


Export citation