Geodesic
Gagliardo–Nirenberg–Sobolev inequalities in John domains
Zeming Wang1 ; Dachun Yang1 ; Yuan Zhou1
1Beijing 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

Voir la notice de l'article provenant de la source Journal.fi

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) 
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
@article{AFM_2024_49_2_a18,
     author = {Zeming Wang and Dachun Yang and Yuan Zhou},
     title = {Gagliardo{\textendash}Nirenberg{\textendash}Sobolev inequalities in {John} domains},
     journal = {Annales Fennici Mathematici},
     pages = {773{\textendash}794--773{\textendash}794},
     year = {2024},
     volume = {49},
     number = {2},
     doi = {10.54330/afm.154980},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.54330/afm.154980/}
}
TY  - JOUR
AU  - Zeming Wang
AU  - Dachun Yang
AU  - Yuan Zhou
TI  - Gagliardo–Nirenberg–Sobolev inequalities in John domains
JO  - Annales Fennici Mathematici
PY  - 2024
SP  - 773–794
EP  - 773–794
VL  - 49
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.54330/afm.154980/
DO  - 10.54330/afm.154980
LA  - en
ID  - AFM_2024_49_2_a18
ER  - 
%0 Journal Article
%A Zeming Wang
%A Dachun Yang
%A Yuan Zhou
%T Gagliardo–Nirenberg–Sobolev inequalities in John domains
%J Annales Fennici Mathematici
%D 2024
%P 773–794-773–794
%V 49
%N 2
%U http://geodesic.mathdoc.fr/articles/10.54330/afm.154980/
%R 10.54330/afm.154980
%G en
%F AFM_2024_49_2_a18

Cité par Sources :