Frank, Rupert L.; Jin, Tianling; Xiong, Jingang (2018): Minimizers for the fractional Sobolev inequality on domains. In: Calculus of Variations and Partial Differential Equations, Vol. 57, No. 2, 43 |
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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 |
Subjects: | 500 Science > 510 Mathematics |
ISSN: | 0944-2669 |
Language: | English |
ID Code: | 66390 |
Deposited On: | 19. Jul 2019 12:19 |
Last Modified: | 04. Nov 2020 13:47 |
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