On a nonlinear eigenvalue problem in Sobolev spaces with variable exponent
Teodora Liliana Dinu
Abstract
We consider a class of nonlinear Dirichlet problems involving the p(x)--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.
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