Existence and Localization Results for p(x)-Laplacian via Topological Methods

Cekic, B.Mashiyev, R. A.2024-04-242024-04-2420101687-1820https://doi.org/10.1155/2010/120646https://hdl.handle.net/11468/17848We show the existence of a week solution in W(0)(1,p(x)) (Omega) to a Dirichlet problem for -Delta(p(x))u = f(x, u) in Omega, and its localization. This approach is based on the nonlinear alternative of Leray-Schauder.eninfo:eu-repo/semantics/openAccess[No Keyword]Existence and Localization Results for p(x)-Laplacian via Topological MethodsExistence and Localization Results for p(x)-Laplacian via Topological MethodsArticleWOS:0002829459000012-s2.0-7795796490210.1155/2010/120646Q1Q1