On a nonlinear eigenvalue problem in Sobolev spaces with variable exponent
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We consider a class of nonlinear Dirichlet problems involving the --Laplace operator. Our framework is based on the theory of Sobolev spaces with variable exponent and we establish the existence of a weak solution in such a space. The proof relies on the Mountain Pass Theorem.
Cite
@article{arxiv.math/0511167,
title = {On a nonlinear eigenvalue problem in Sobolev spaces with variable exponent},
author = {Teodora Liliana Dinu},
journal= {arXiv preprint arXiv:math/0511167},
year = {2007}
}