IJPAM: Volume 92, No. 1 (2014)

EXISTENCE OF WEAK SOLUTIONS
FOR $p(x)$-KIRCHHOFF-TYPE EQUATION

Zehra Yucedag
Department of Mathematics
Faculty of Science
Dicle University
21280, Diyarbakir, TURKEY


Abstract. This paper is considerned with the existence of solutions for $p(x)$-Kirchhoff-type problem under with Dirichlet boundary condition. By direct variational method and the Mountain Pass theorem, we establish some conditions that ensure the existence nontrivial weak solutions for the problem.

Received: November 13, 2013

AMS Subject Classification: 35D05, 35J60, 35J70

Key Words and Phrases: variational method, $p(x)$-Kirchhoff-type equation, Mountain Pass Theorem

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DOI: 10.12732/ijpam.v92i1.5 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 92
Issue: 1
Pages: 61 - 71

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).