On the p-biharmonic operator with critical Sobolev exponent

DOI10.4064/AM41-2-10zbMath1304.35465OpenAlexW2312271563MaRDI QIDQ2928187

Abdelfattah Touzani, Abdelouahed El Khalil, My Driss Morchid Alaoui

Publication date: 6 November 2014

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

Full work available at URL: https://doi.org/10.4064/am41-2-10

zbMATH Keywords

duality mappingPalais-Smale conditionnonlinear eigenvalue problemcritical Sobolev exponent\(p\)-biharmonic operator

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Critical exponents in context of PDEs (35B33) Boundary value problems for nonlinear higher-order PDEs (35G30)

Related Items (2)

Multiplicity of solutions for \(p\)-biharmonic problems with critical growth ⋮ On the spectrum of the p-biharmonic operator involving p-Hardy's inequality

Cites Work

• On solutions of second and fourth order elliptic equations with power-type nonlinearities
• Existence and nonexistence results for critical growth biharmonic elliptic equations
• On the \(p\)-biharmonic operator with critical Sobolev exponent and nonlinear Steklov boundary condition
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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