On the sharp constants in the regional fractional Sobolev inequalities
Abstract
In this paper, we study the sharp constants in fractional Sobolev inequalities associated with the regional fractional Laplacian in domains.
Copyright and License
© The Author(s) 2025.
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Funding
R. L. F. was partially supported by the US National Science Foundation grant DMS-1954995 and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through Germany’s Excellence Strategy EXC-2111-390814868. T. J. was partially supported by NSFC 12122120 and Hong Kong RGC grant GRF 16302519.
Open access funding provided by Hong Kong University of Science and Technology.
Data Availability
Data sharing is not applicable to this article as no datasets were generated or analysed during the current study.
Additional Information
This article is part of the section “Theory of PDEs” edited by Eduardo Teixeira.
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Additional details
- National Science Foundation
- DMS-1954995
- Deutsche Forschungsgemeinschaft
- EXC-2111-390814868
- National Natural Science Foundation of China
- 12122120
- University Grants Committee
- 16302519
- Hong Kong University of Science and Technology
- Accepted
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2025-02-21
- Caltech groups
- Division of Physics, Mathematics and Astronomy (PMA)
- Publication Status
- Published