Sharp nonexistence results for a linear elliptic inequality involving Hardy and Leray potentials

DOI10.1155/2011/917201zbMath1221.35455arXiv1006.5603OpenAlexW2167606276WikidataQ59266614 ScholiaQ59266614MaRDI QIDQ535555

Mouhamed Moustapha Fall, Roberta Musina

Publication date: 13 May 2011

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

Full work available at URL: https://arxiv.org/abs/1006.5603

zbMATH Keywords

distributional solutionHardy potentialsingular weightLeray potentiallinear elliptic inequality

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45)

Related Items

Isolated singularities for elliptic equations with Hardy operator and source nonlinearity ⋮ QUALITATIVE PROPERTIES FOR ELLIPTIC PROBLEMS WITH CKN OPERATORS ⋮ On Hardy inequalities with singularities on the boundary ⋮ A note on Hardy's inequalities with boundary singularities ⋮ On semilinear elliptic equations with borderline Hardy potentials ⋮ Exact asymptotic behavior of singular positive solutions of fractional semi-linear elliptic equations ⋮ Semilinear elliptic equations for the fractional Laplacian with Hardy potential ⋮ A critically degenerate elliptic Dirichlet problem, spectral theory and bifurcation ⋮ Weighted Hardy inequality with higher dimensional singularity on the boundary ⋮ The Poisson problem for the fractional Hardy operator: Distributional identities and singular solutions ⋮ On nonhomogeneous elliptic equations with the Hardy-Leray potentials

Cites Work

• Unnamed Item
• A nonlinear elliptic PDE with the inverse square potential.
• Bounds for the best constant in an improved Hardy-Sobolev inequality
• Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
• On the equivalence of two types of oscillation for elliptic operators
• Nonoscillatory elliptic equations
• An improved Hardy-Sobolev inequality and its application
• On the best possible remaining term in the Hardy inequality
• The Heat Equation with a Singular Potential
• Existence and nonexistence of energy solutions for linear elliptic equations involving Hardy-type potentials
• Liouville theorems for elliptic inequalities and applications
• Series expansion for L^p Hardy inequalities
• Existence and non-existence of the first eigenvalue of the perturbed Hardy–Sobolev operator
• Comparison results for PDEs with a singular potential
• Existence of minimizers for Schroedinger operators under domain perturbations with application to Hard's inequality