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

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

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}.

Bibliographic Details
Main Authors: E. A. Al Zahrani, M. A. Mourou, Kamel Saoudi
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2018-10-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
p$(x)-$Laplace operator
Generalized Lebesgue-Sobolev spaces
Strongly system
Variational methods
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/33821

Internet

http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/33821

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