Iulia Dorotheea Stircu, Vasile Florin Uta
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.
Submitted July 27, 2017. Published November 5, 2017.
Math Subject Classifications: 35D30, 35J60, 58E05.
Key Words: Nonlinear eigenvalue problem; p(x)-Laplacian; critical point;
variable exponent Sobolev spaces; mountain-pass theorem.
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Iulia Dorotheea Stircu Department of Mathematics, University of Craiova 200585 Craiova, Romania email: iulia.stircu@hotmail.com | |
Vasile Florin Uta Department of Mathematics, University of Craiova 200585 Craiova, Romania email: uta.vasi@yahoo.com |
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