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

Authors

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}.

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

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Published

2018-10-01

Issue

Vol. 36 No. 4 (2018)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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