Alimohammady, MohsenRezvani, AsiehAydin, Ismail2026-04-252026-04-2520250025-51652406-0682https://doi.org/10.57016/MV-HBUM1359https://hdl.handle.net/11486/8641We study the existence of three weak solutions to the Dirichlet boundary condition for a p(x)-Laplacian equation. Using a variational method and the three critical point theorem, we would show the existence and multiplicity of the solutions. For this purpose, we focus on a generalized variable exponent Lebesgue-Sobolev space.eninfo:eu-repo/semantics/openAccessp(x)-Laplacianvariational methodthree solutionsSobolev spaceArticle77429530110.57016/MV-HBUM1359Q4WOS:001594000100002Q4