Best Sobolev constants in the presence of sharp Hardy terms in Euclidean and hyperbolic space

Autor:	Barbatis, Gerassimos, Tertikas, Achilles
Rok vydání:	2019
Předmět:	Mathematics - Analysis of PDEs Mathematics - Differential Geometry Mathematics - Spectral Theory 35A23 35J75 35J60 (primary) 46E35 35J60 58E35 (secondary)
Zdroj:	Bulletin of the Hellenic Mathematical Society, Volume 63 (2019), pp 64-96
Druh dokumentu:	Working Paper
Popis:	In this article we compute the best Sobolev constants for various Hardy-Sobolev inequalities with sharp Hardy term. This is carried out in three different environments: interior point singularity in Euclidean space, interior point singularity in hyperbolic space and boundary point singularity in Euclidean domains. Comment: 27 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1909.10212 Zobrazit plný text záznamu View this record from Arxiv