EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR DIRICHLET PROBLEMS INVOLVING THE P(X)-LAPLACE OPERATOR

Avci, Mustafa2024-04-242024-04-2420131072-6691https://hdl.handle.net/11468/21951In this article, we study superlinear Dirichlet problems involving the p(x)-Laplace operator without using the Ambrosetti-Rabinowitz's superquadraticity condition. Using a variant Fountain theorem, but not including Palais-Smale type assumptions, we prove the existence and multiplicity of the solutions.eninfo:eu-repo/semantics/closedAccessP(X)-Laplace OperatorVariable Exponent Lebesgue-Sobolev SpacesVariational ApproachFountain TheoremEXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR DIRICHLET PROBLEMS INVOLVING THE P(X)-LAPLACE OPERATOREXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR DIRICHLET PROBLEMS INVOLVING THE P(X)-LAPLACE OPERATORArticleWOS:000320311000004Q3