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.
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页码：1 / 25
页数：25
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