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

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

We show the existence of a week solution in W01,p(x)(Ω) to a Dirichlet problem for −Δp(x)u=f(x,u) in Ω, and its localization. This approach is based on the nonlinear alternative of Leray-Schauder.

Bibliographic Details
Main Authors:	B. Cekic, R. A. Mashiyev
Format:	Article
Language:	English
Published:	SpringerOpen 2010-01-01
Series:	Fixed Point Theory and Applications
Online Access:	http://dx.doi.org/10.1155/2010/120646

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