Regularity of the free boundary for the two-phase Bernoulli problem
成果类型：
Article
署名作者：
De Philippis, Guido; Spolaor, Luca; Velichkov, Bozhidar
署名单位：
New York University; University of California System; University of California San Diego; University of Pisa
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-021-01031-7
发表日期：
2021
页码：
347-394
关键词：
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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