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 C1,1 perturbations when the charge is small enough.
Goldman M, Novaga M, Ruffini B (2015). Existence and stability for a non-local isoperimetric model of charged liquid drops. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 217, 1-36 [10.1007/s00205-014-0827-9].
Existence and stability for a non-local isoperimetric model of charged liquid drops
Ruffini B
2015
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 C1,1 perturbations when the charge is small enough.File in questo prodotto:
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