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^1 perturbations preserving the volume. However, we prove that the ball is stable under small C^(1,1) perturbations when the charge is small enough.
Existence and Stability for a Non-Local Isoperimetric Model of Charged Liquid Drops
NOVAGA, MATTEO;
2015-01-01
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^1 perturbations preserving the volume. However, we prove that the ball is stable under small C^(1,1) perturbations when the charge is small enough.File in questo prodotto:
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