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arXiv:1909.10212 [math.AP]AbstractReferencesReviewsResources

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

Gerassimos Barbatis, Achilles Tertikas

Published 2019-09-23Version 1

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.

Comments: 27 pages
Journal: Bulletin of the Hellenic Mathematical Society, Volume 63 (2019), pp 64-96
Categories: math.AP, math.DG, math.SP
Subjects: 35A23, 35J75, 35J60, 46E35, 35J60, 58E35
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