A fixed point method for the \(p(\cdot\))-Laplacian

DOI10.1016/j.crma.2009.04.022zbMath1170.35419OpenAlexW1999226322MaRDI QIDQ1028079

Gheorghe Dinca

Publication date: 30 June 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.04.022

zbMATH Keywords

fixed point methodLeray-Schauder degree\(p(\cdot)\)-Laplacian

Mathematics Subject Classification ID

Related Items (5)

Existence of solutions for fractional \(p\)-Laplacian problems via Leray-Schauder's nonlinear alternative ⋮ Uniform convexity, uniform monotonicity and \((\phi,c)\)-subdifferentiability with application to nonlinear PDE ⋮ Existence of solution for Kirchhoff type problem in Orlicz-Sobolev spaces via Leray-Schauder's nonlinear alternative ⋮ Existence and localization results for \(p(x)\)-Laplacian via topological methods ⋮ Positive periodic solutions of nonlinear differential equations system with nonstandard growth

Cites Work

• Unnamed Item
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Boundary trace embedding theorems for variable exponent Sobolev spaces
• Une méthode de point fixe pour le p-laplacien
• Variational and topological methods for Dirichlet problems with \(p\)-Laplacian
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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