Department of Mathematics, Faculty of Science
Dicle University
21280-Diyarbakir, Turkey
email: mavci@dicle.edu.tr
Mustafa Avci
Abstract:
In this article, we study superlinear Dirichlet problems involving
the p(x)-Laplace operator without using the
Ambrosetti-Rabinowitz's superquadraticity condition.
Using a variant Fountain theorem, but not including Palais-Smale type
assumptions, we prove the existence and multiplicity of the solutions.
Submitted November 11, 2011. Published January 14, 2013.
Math Subject Classifications: 35D05, 35J60, 35J70, 58E05.
Key Words: p(x)-Laplace operator; variable exponent
Lebesgue-Sobolev spaces; variational approach;
Fountain theorem.
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Mustafa Avci Department of Mathematics, Faculty of Science Dicle University 21280-Diyarbakir, Turkey email: mavci@dicle.edu.tr |
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