Existence and stability for a non-local isoperimetric model of charged liquid drops - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

Existence and stability for a non-local isoperimetric model of charged liquid drops

Abstract

We consider a variational problem related to the shape of charged liquid drops at equilibrium. We show that this problem never admits global minimizers with respect to L1 perturbations preserving the volume. This leads us to study it in more regular classes of competitors, for which we show existence of minimizers. We then prove that the ball is the unique solution for sufficiently small charges.
Fichier principal
Vignette du fichier
gnrfinal.pdf (286.32 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00940910 , version 1 (12-03-2014)

Identifiers

  • HAL Id : hal-00940910 , version 1

Cite

Michael Goldman, Matteo Novaga, Berardo Ruffini. Existence and stability for a non-local isoperimetric model of charged liquid drops. 2014. ⟨hal-00940910⟩
133 View
81 Download

Share

Gmail Facebook Twitter LinkedIn More