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

Resumo

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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Biografia do Autor

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
Publicado
2018-10-01
Seção
Artigos