Geodesic
Gagliardo–Nirenberg–Sobolev inequalities in John domains
Zeming Wang1 ; Dachun Yang1 ; Yuan Zhou1
1 Beijing Normal University, School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems (Ministry of Education of China)
Annales Fennici Mathematici, Tome 49 (2024) no. 2, p. 773–794.

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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.  
DOI : 10.54330/afm.154980
Keywords: Gagliardo–Nirenberg–Sobolev inequality, John domain, Boman chain condition, separation property

Zeming Wang 1 ; Dachun Yang 1 ; Yuan Zhou 1

1 Beijing Normal University, School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems (Ministry of Education of China) 
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Zeming Wang; Dachun Yang; Yuan Zhou. Gagliardo–Nirenberg–Sobolev inequalities in John domains. Annales Fennici Mathematici, Tome 49 (2024) no. 2, p. 773–794. doi : 10.54330/afm.154980. http://geodesic.mathdoc.fr/articles/10.54330/afm.154980/

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