Mass and extremals associated with the Hardy-Schrödinger operator on hyperbolic space

DOI10.1515/ans-2018-2025zbMath1407.35074arXiv1710.01271OpenAlexW2963082131MaRDI QIDQ1632061

Luiz Fernando de Oliveira Faria, Saikat Mazumdar, Shaya Shakerian, Nassif Ghoussoub, Hardy Chan

Publication date: 12 December 2018

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01271

zbMATH Keywords

existence of solutionsground state solutionHardy-Schrödinger operatorPoincaré ball

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Singular elliptic equations (35J75)

Related Items (4)

Best Sobolev constants in the presence of sharp Hardy terms in Euclidean and hyperbolic space ⋮ Hardy-Poincaré-Sobolev type inequalities on hyperbolic spaces and related Riemannian manifolds ⋮ Hardy's identities and inequalities on Cartan-Hadamard manifolds ⋮ The Hardy-Schrödinger operator on the Poincaré ball: compactness, multiplicity, and stability of the Pohozaev obstruction

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