On the spectrum of the p-biharmonic operator involving p-Hardy's inequality

DOI10.4064/AM41-2-11zbMath1304.35466OpenAlexW2323514962MaRDI QIDQ2928188

My Driss Morchid Alaoui, Abdelfattah Touzani, Abdelouahed El Khalil

Publication date: 6 November 2014

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/am41-2-11

zbMATH Keywords

duality mappingPalais-Smale conditioneigenvaluesvariational techniqueHardy-Rellich inequality\(p\)-biharmonic operator

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to PDEs (35A15)

Related Items (3)

\(p(x)\)-biharmonic operator involving the \(p(x)\)-Hardy inequality ⋮ Eigencurves of the \(p (\cdot)\)-biharmonic operator with a Hardy-type term ⋮ Eigenvalues for a class of singular problems involving \(p(x)\)-biharmonic operator and \(q(x)\)-Hardy potential

Cites Work

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• Ljusternik-Schnirelmann theory on \(C^ 1\)-manifolds
• Explicit constants for Rellich inequalities in \(L_p(\Omega)\)
• On the p-biharmonic operator with critical Sobolev exponent

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