Sharp Hardy and Hardy-Sobolev inequalities with point singularities on the boundary

DOI10.1016/j.matpur.2018.05.004zbMath1395.35004arXiv1701.06336OpenAlexW2963948641MaRDI QIDQ1663063

Stathis Filippas, Achilles Tertikas, Gerassimos Barbatis

Publication date: 21 August 2018

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.06336

zbMATH Keywords

best constantboundary singularityconformalityinterior and exterior ball conditionmaximal potential

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Inequalities involving derivatives and differential and integral operators (26D10) Singular elliptic equations (35J75) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (9)

Optimal Hardy-weights for the (p, A)-Laplacian with a potential term ⋮ A sequence of weighted Birman-Hardy-Rellich inequalities with logarithmic refinements ⋮ Best Sobolev constants in the presence of sharp Hardy terms in Euclidean and hyperbolic space ⋮ Optimality of constants in power-weighted Birman-Hardy-Rellich-Type inequalities with logarithmic refinements ⋮ Schrödinger operators with Leray-Hardy potential singular on the boundary ⋮ Boundary singularities of semilinear elliptic equations with Leray-Hardy potential ⋮ On the Hardy–Sobolev Inequalities ⋮ Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold ⋮ On families of optimal Hardy-weights for linear second-order elliptic operators

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