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Abstract

In this paper 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.


BibTex

@article{uniusa574,
    title={Existence of solution for an elliptic problem involving p(x)-Laplacian in RN},
    author={Brahim ABDELMALEK, Ali DJELLIT and Lahcen GHANNAM},
    journal={GJPAM}
    year={2016},
    volume={12},
    number={5},
    pages={3873–3883},
    publisher={RIP}
}