ORCID: https://orcid.org/0000-0001-7973-4688; Jin, Tianling and Xiong, Jingang
(2018):
Minimizers for the fractional Sobolev inequality on domains.
In: Calculus of Variations and Partial Differential Equations, Vol. 57, No. 2, 43
Abstract
We consider a version of the fractional Sobolev inequality in domains and study whether the best constant in this inequality is attained. For the half-space and a large class of bounded domains we show that a minimizer exists, which is in contrast to the classical Sobolev inequalities in domains.
Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics > Analysis, Mathematical Physics and Numerics |
Subjects: | 500 Science > 510 Mathematics |
ISSN: | 0944-2669 |
Language: | English |
Item ID: | 66390 |
Date Deposited: | 19. Jul 2019, 12:19 |
Last Modified: | 13. Aug 2024, 12:43 |