A TWO-PHASE PROBLEM WITH ROBIN CONDITIONS ON THE FREE BOUNDARY

被引：2

作者：

Lo Bianco, Serena Guarino ^{[1
]}

La Manna, Domenico Angelo ^{[2
]}

Velichkov, Bozhidar ^{[3
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Agr, Via Univ 100, I-80055 Portici, NA, Italy

[2] Univ Jyvaskyla, Dept Math & Stat, POB 35 MaD, FI-40014 Jyvaskyla, Finland

[3] Univ Pisa, Dipartimento Matemat, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy

来源：

JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES | 2021年 / 8卷

基金：

欧洲研究理事会; 芬兰科学院;

关键词：

Free boundary problems; two-phase; Robin boundary conditions; regularity;

D O I：

10.5802/jep.139

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study for the first time a two-phase free boundary problem in which the solution satisfies a Robin boundary condition. We consider the case in which the solution is continuous across the free boundary and we prove an existence and a regularity result for minimizers of the associated variational problem. Finally, in the appendix, we give an example of a class of Steiner symmetric minimizers.

引用

页码：1 / 25

页数：25

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