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.
Existence and stability for a non-local isoperimetric model of charged liquid drops / Goldman M; Novaga M; Ruffini B. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - STAMPA. - 217:(2015), pp. 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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