Gagliardo–Nirenberg–Sobolev inequalities in John domains

Authors

  • Zeming Wang Beijing Normal University, School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems (Ministry of Education of China)
  • Dachun Yang Beijing Normal University, School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems (Ministry of Education of China)
  • Yuan Zhou Beijing Normal University, School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems (Ministry of Education of China)
DOI: https://doi.org/10.54330/afm.154980

Keywords:

Gagliardo–Nirenberg–Sobolev inequality, John domain, Boman chain condition, separation property

Abstract

We build up a Gagliardo–Nirenberg–Sobolev inequality in John domains and, conversely, under an extra separation property, we show that a bounded domain supporting such a Gagliardo–Nirenberg–Sobolev inequality should be a John domain.

 

Issue
Vol. 49 No. 2 (2024)
Section
Articles

Published

2024-12-18

How to Cite

Wang, Z., Yang, D., & Zhou, Y. (2024). Gagliardo–Nirenberg–Sobolev inequalities in John domains. Annales Fennici Mathematici, 49(2), 773–794. https://doi.org/10.54330/afm.154980

Copyright (c) 2024 Annales Fennici Mathematici

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