Calculus of Variations and Geometric Measure Theory

G. De Philippis - J. Hirsch - G. Vescovo

Regularity of minimizers for a model of charged droplets

created by dephilipp on 08 Jan 2019
modified on 04 Nov 2019


Accepted Paper

Inserted: 8 jan 2019
Last Updated: 4 nov 2019

Journal: Comm. Math. Phys.
Year: 2019

ArXiv: 1901.02546 PDF


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.