Razani, AbdolrahmanMusbah, ZahirulhaqSafari, FarzanehSevim, Esra Sengelen2026-04-042026-04-0420241687-2770https://doi.org/10.1186/s13661-024-01940-5https://hdl.handle.net/11411/10648In this paper, we study the existence and multiplicity of weak solutions of the p(x)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$p(x)$\end{document}-Laplacian problems that are subject to Dirichlet boundary conditions, employing variational techniques as our primary analytical framework.eninfo:eu-repo/semantics/openAccessVariational MethodsWeak SolutionCritical Point TheoryVariable ExponentDirichlet Boundary ConditionArticle2-s2.0-8520576941510.1186/s13661-024-01940-510.1186/s13661-024-01940-51Q12024Q1WOS:001324216100001