Regularity of Minimizers for a Model of Charged Droplets

被引：2

作者：

de Philippis, Guido ^{[1
]}

Hirsch, Jonas ^{[2
]}

Vescovo, Giulia ^{[3
]}

机构：

[1] NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA

[2] Univ Leipzig, Math Inst, Augustus Pl 10, D-04109 Leipzig, Germany

[3] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2023年 / 401卷 / 01期

关键词：

ELLIPTIC VARIATIONAL-PROBLEMS; INSTABILITY; EVERYWHERE; BOUNDARIES; EXISTENCE; SETS;

D O I：

10.1007/s00220-022-04565-w

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：33 / 78

页数：46

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