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Abstract

In this talk, by using the mountain pass theorem, we obtain the existence of non trivial weak solutions of the following nonlocal elliptic system with continuous and bounded functions. The real valued function F∈C¹(ℝ^{N}×ℝ²) satisfies some assumptions. The unknown real valued functions u and v stay in appropriate spaces. The operator Δ_{p(x)}u=div(|∇u|^{p(x)-2}∇u) designates the p(x)-Laplacian.


BibTex

@inproceedings{uniusa693,
    title={Nonlinear elliptic systems involving (p(x),q(x))-Laplacian},
    author={Brahim ABDELMALEK, Ali DJELLIT and Sameh TAMRABET},
    year={2017},
    booktitle={5ème Congrès International de la SM2A}
}