Nonlinear biharmonic equations with Hardy potential and critical parameter

DOI10.1016/j.jmaa.2009.01.076zbMath1172.35027OpenAlexW2064551800MaRDI QIDQ1022965

Yaotan Shen, Youjun Wang

Publication date: 10 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.01.076

zbMATH Keywords

Hardy potentialembedding inequalitiesCerami conditioncritical parameternonlinear biharmonic equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (9)

The existence of a nontrivial weak solution to a double critical problem involving a fractional Laplacian in \(\mathbb{R}^N\) with a Hardy term ⋮ Unnamed Item ⋮ Existence and multiplicity of solutions for a singular problem involving the \(p\)-biharmonic operator in \(\mathbb{R}^N\) ⋮ Existence of positive solution for nonlocal singular fourth order Kirchhoff equation with Hardy potential ⋮ Existence results for perturbed fourth-order Kirchhoff type elliptic problems with singular term ⋮ Nonlinear biharmonic problems with singular potentials ⋮ Sign-changing solutions for \(p\)-biharmonic equations with Hardy potential ⋮ Sign-changing solutions for \(p\)-biharmonic equations with Hardy potential in the half-space ⋮ Improved Sobolev inequalities involving weighted Morrey norms and the existence of nontrivial solutions to doubly critical elliptic systems involving fractional Laplacian and Hardy terms

Cites Work

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