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Abstract

In this papier we study a class of nonlinear elliptic problems involving the p(x)-Laplacian operator. Under some additional assumptions on the nonlinearities, the corresponding functional verifies the Palais-Smale condition. So, we can use the Mountain Pass Theorem to prove the existence of nontrivial solution.


Key words: p(x)-Laplacian, elliptic problem, mountain pass theorem, Palais-Smale condition


BibTex

@inproceedings{uniusa570,
    title={Existence of Solutions for Elliptic Problems Involving p(x)-Laplacian in unbounded domain.},
    author={Brahim ABDELMALEK and Ali DJELLIT},
    year={2014},
    booktitle={Conférence sur les Problèmes Mathématiques non-Linéaires}
}