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.

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Bibliographische Detailangaben
Veröffentlicht in:Fixed point theory and algorithms for sciences and engineering 2010-01
Hauptverfasser: Cekic, B, Mashiyev, R A
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Dirichlet problem
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Zusammenfassung: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.
ISSN:2730-5422