@article{d187af2b7f19470e89e950324d380e2f,
title = "Regularity of the free boundary for the two-phase Bernoulli problem",
abstract = "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.",
author = "{De Philippis}, Guido and Luca Spolaor and Bozhidar Velichkov",
note = "Funding Information: L.S. was partially supported by NSF grant DMS-1951070. B.V. was partially supported by the project ERC VAREG - Variational approach to the regularity of the free boundaries (grant agreement No. 853404) and by the projects GeoSpec (LabEx PERSYVAL-Lab, ANR-11-LABX-0025-01) and CoMeDiC (ANR-15-CE40-0006). Publisher Copyright: {\textcopyright} 2021, The Author(s).",
year = "2021",
month = aug,
doi = "10.1007/s00222-021-01031-7",
language = "English (US)",
volume = "225",
pages = "347--394",
journal = "Inventiones Mathematicae",
issn = "0020-9910",
publisher = "Springer New York",
number = "2",
}