Existence of solutions for a class of strongly coupled $p(x)-$ laplacian system

Eada Ahmed Al Zahrani; Mohamed Ali Mourou; Kamel Saoudi

doi:10.5269/bspm.v36i4.33821

Existence of solutions for a class of strongly coupled $p(x)-$ laplacian system

Eada Ahmed Al Zahrani University of Dammam http://orcid.org/0000-0001-6355-5001
Mohamed Ali Mourou University of Dammam
Kamel Saoudi University of Dammam

DOI: https://doi.org/10.5269/bspm.v36i4.33821

Keywords: p$(x)-$Laplace operator, Generalized Lebesgue-Sobolev spaces, Strongly system, Variational methods

Abstract

We prove the existence of a non trivial weak solution for certain class of strongly coupled nonlinear system containing the ($p(x)-q(x))$ laplacian operators using as main argument the mountain pass Theorem of {\sc Ambrosetti-Rabinowitz}.

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Author Biographies

Eada Ahmed Al Zahrani, University of Dammam

Department of Mathematics,
College of Sciences for Girls

Mohamed Ali Mourou, University of Dammam

Department of Mathematics,
College of Sciences for Girls

Kamel Saoudi, University of Dammam

Department of Mathematics,
College of Sciences for Girls

Published

2018-10-01

Issue

Vol 36 No 4 (2018)

Section

Research Articles

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