Title

Existence and Stability for a Non-Local Isoperimetric Model of Charged Liquid Drops.

Authors

Goldman, Michael; Novaga, Matteo; Ruffini, Berardo

Abstract

We consider a variational problem related to the shape of charged liquid drops at equilibrium. We show that this problem never admits local minimizers with respect to L perturbations preserving the volume. However, we prove that the ball is stable under small C perturbations when the charge is small enough.

Subjects

EXISTENCE theorems; STABILITY theory; ISOPERIMETRICAL problems; MATHEMATICAL models; DROPLETS; PERTURBATION theory; VARIATIONAL principles

Publication

Archive for Rational Mechanics & Analysis, 2015, Vol 217, Issue 1, p1

ISSN

0003-9527

Publication type

Academic Journal

DOI

10.1007/s00205-014-0827-9