The solution gap of the Brezis-Nirenberg problem on the hyperbolic space

DOI10.1007/S00605-015-0861-1zbMath1355.35188arXiv1507.05318OpenAlexW3102975000MaRDI QIDQ331063

Soledad Benguria

Publication date: 26 October 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.05318

zbMATH Keywords

critical exponenthyperbolic spacecritical dimensionBrezis-Nirenberg problemPohozaev identityspaces of constant curvature

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Positive solutions to PDEs (35B09) PDEs on manifolds (35R01)

Related Items (5)

The Brezis-Nirenberg problem for the Laplacian with a singular drift in \(\mathbb{R}^n\) and \(\mathbb{S}^n\) ⋮ A CLASS OF CRITICAL KIRCHHOFF PROBLEM ON THE HYPERBOLIC SPACE ⋮ Unnamed Item ⋮ A non-existence result for a generalized radial Brezis-Nirenberg problem ⋮ Higher order Brezis-Nirenberg problem on hyperbolic spaces: existence, nonexistence and symmetry of solutions

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