Regularity of Minimizers for a Model of Charged Droplets

Guido de Philippis, Jonas Hirsch, Giulia Vescovo

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)33-78
Number of pages46
JournalCommunications In Mathematical Physics
Issue number1
StatePublished - Jul 2023

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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