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

Auteurs-es

DOI :

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

Mots-clés :

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

Résumé

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}.

Biographies de l'auteur-e

  • 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

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Publié

2018-10-01

Numéro

Rubrique

Research Articles