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

Autores/as

DOI:

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

Palabras clave:

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

Resumen

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}.

Biografía del autor/a

  • 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

Descargas

Publicado

2018-10-01

Número

Sección

Research Articles