Published March 20, 2025 | Published
Journal Article Open

On the sharp constants in the regional fractional Sobolev inequalities

  • 1. ROR icon Ludwig-Maximilians-Universität München
  • 2. Munich Center for Quantum Science and Technology
  • 3. ROR icon California Institute of Technology
  • 4. ROR icon Hong Kong University of Science and Technology
  • 5. ROR icon Peking University
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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

Created:
March 25, 2025
Modified:
March 25, 2025