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Regularity of minimizers for a model of charged droplets (1901.02546v1)
Published 8 Jan 2019 in math.AP
Abstract: We investigate properties of minimizers of a variational model describing the shape of charged liquid droplets. The model, proposed by Muratov and Novaga, takes into account the regularizing effect due to the screening of free counterionions in the droplet. In particular we prove partial regularity of minimizers, a first step toward the understanding of further properties of minimizers.