Best Sobolev constants in the presence of sharp Hardy terms in Euclidean and hyperbolic space
zbMath1429.35010arXiv1909.10212MaRDI QIDQ4972063
Achilles Tertikas, Gerassimos Barbatis
Publication date: 22 November 2019
Full work available at URL: https://arxiv.org/abs/1909.10212
Poincaré inequalityhyperbolic spaceSobolev inequalityHardy inequalitybottom of the essential spectrumboundary point singularity
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Singular elliptic equations (35J75) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
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