Regularity of the free boundary for the two-phase Bernoulli problem

被引：0
|
作者：
Guido De Philippis
Luca Spolaor
Bozhidar Velichkov
机构：
[1] New York University,Courant Institute of Mathematical Sciences
[2] University of California,Department of Mathematics
[3] San Diego,Dipartimento di Matematica
[4] Università di Pisa,undefined
来源：
Inventiones mathematicae | 2021年 / 225卷
关键词：
35R35; 49Q10; 47A75;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove a regularity theorem for the free boundary of minimizers of the two-phase Bernoulli problem, completing the analysis started by Alt, Caffarelli and Friedman in the 80s. As a consequence, we also show regularity of minimizers of the multiphase spectral optimization problem for the principal eigenvalue of the Dirichlet Laplacian.
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页码：347 / 394
页数：47
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