no. 2
Minimality of the ball for a model of charged liquid droplets
Annales de l'I.H.P. Analyse non linéaire, Tome 40 (2023) no. 2, pp. 457-509
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

We prove that charged liquid droplets minimizing Debye–Hückel-type free energy are spherical in the small charge regime. The variational model was proposed by Muratov and Novaga in 2016 to avoid the ill-posedness of the classical one. Combining a recent (partial) regularity result with the selection principle of Cicalese and Leonardi, we prove that the ball is the unique minimizer in the small charge regime.

Accepté le :
Publié le :
DOI : 10.4171/aihpc/49
Classification : 76-XX
Keywords: Shape optimization, free boundary, second variation 
@article{AIHPC_2023__40_2_457_0,
     author = {Mukoseeva, Ekaterina and Vescovo, Giulia},
     title = {Minimality of the ball for a model of charged liquid droplets},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {457--509},
     year = {2023},
     volume = {40},
     number = {2},
     doi = {10.4171/aihpc/49},
     language = {en},
     url = {https://www.numdam.org/articles/10.4171/aihpc/49/}
}
TY  - JOUR
AU  - Mukoseeva, Ekaterina
AU  - Vescovo, Giulia
TI  - Minimality of the ball for a model of charged liquid droplets
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2023
SP  - 457
EP  - 509
VL  - 40
IS  - 2
UR  - https://www.numdam.org/articles/10.4171/aihpc/49/
DO  - 10.4171/aihpc/49
LA  - en
ID  - AIHPC_2023__40_2_457_0
ER  - 
%0 Journal Article
%A Mukoseeva, Ekaterina
%A Vescovo, Giulia
%T Minimality of the ball for a model of charged liquid droplets
%J Annales de l'I.H.P. Analyse non linéaire
%D 2023
%P 457-509
%V 40
%N 2
%U https://www.numdam.org/articles/10.4171/aihpc/49/
%R 10.4171/aihpc/49
%G en
%F AIHPC_2023__40_2_457_0
Mukoseeva, Ekaterina; Vescovo, Giulia. Minimality of the ball for a model of charged liquid droplets. Annales de l'I.H.P. Analyse non linéaire, Tome 40 (2023) no. 2, pp. 457-509. doi: 10.4171/aihpc/49

Cité par Sources :