Regularity of minimizers for a model of charged droplets

Giulia Vescovo; Guido De Philippis; Jonas Hirsch

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Regularity of minimizers for a model of charged droplets

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arxiv 1901.02546 v1 pith:Z4SPFVDU submitted 2019-01-08 math.AP

Guido De Philippis , Jonas Hirsch , Giulia Vescovo This is my paper

classification math.AP

keywords minimizersmodelchargeddropletspropertiesregularityaccountcounterionions

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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.

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