A quasilinear Neumann problem involving the \(p(x)\)-Laplacian

DOI10.1016/j.na.2009.01.109zbMath1177.35096OpenAlexW2057438000MaRDI QIDQ923932

Danila Sandra Moschetto

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.109

zbMATH Keywords

variational principleNeumann problem\(p(x)\)-Laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

On a \(p(x)\)-biharmonic problem with Navier boundary condition ⋮ Unnamed Item ⋮ Existence results for a Neumann problem involving the \(p(x)\)-Laplacian with discontinuous nonlinearities ⋮ A note on the Neumann problem ⋮ Sobolev inequality and the exact multiplicity of solutions and positive solutions to a second-order Neumann boundary value problem

Cites Work

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• Remarks on Ricceri's variational principle and applications to the \(p(x)\)-Laplacian equations
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• A class of functionals on a banach space for which strong and weak local minima do coincide^∗
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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