Mountain pass solutions for perturbed Hardy-Sobolev equations on compact manifolds

DOI10.1515/ANLY-2016-0004zbMath1354.58015OpenAlexW2328629027MaRDI QIDQ334545

Hassan Jaber

Publication date: 1 November 2016

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2016-0004

zbMATH Keywords

compact Riemannian manifoldmountain pass lemmamountain pass solutionHardy-Sobolev equationmass of manifold

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Second-order elliptic equations (35J15) Elliptic equations on manifolds, general theory (58J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Strong solutions to PDEs (35D35)

Related Items (6)

Blow-up solutions for Hardy-Sobolev equations on compact Riemannian manifolds ⋮ Mountain pass solution to a perturbated Hardy–Sobolev equation involving p-Laplacian on compact Riemannian manifolds ⋮ Hardy-Sobolev inequalities with singularities on non smooth boundary. Part 2: influence of the global geometry in small dimensions ⋮ Influence of mean curvature on mountain-pass solutions for Hardy-Sobolev equations ⋮ Hardy-Sobolev equation on compact Riemannian manifolds involving \(p\)-Laplacian ⋮ Influence of an L^{p}-perturbation on Hardy-Sobolev inequality with singularity a curve

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