Solutions of nonlinear problems involving p(x)-Laplacian operator

Yucedag, Zehra2024-04-242024-04-2420152191-94962191-950Xhttps://doi.org/10.1515/anona-2015-0044https://hdl.handle.net/11468/18523In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian. The problem is settled in the variable exponent Sobolev space W-0(1, p(x)) (Omega), and the main tools are the Mountain-Pass theorem and Fountain theorem.eninfo:eu-repo/semantics/openAccessP(X)-LaplacianNonlocal ProblemVariational MethodsMountain Pass TheoremFountain TheoremSolutions of nonlinear problems involving p(x)-Laplacian operatorSolutions of nonlinear problems involving p(x)-Laplacian operatorArticle44285293WOS:0003643164000032-s2.0-8494684342310.1515/anona-2015-0044Q1Q1