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.
Original language | English (US) |
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Pages (from-to) | 347-394 |
Number of pages | 48 |
Journal | Inventiones Mathematicae |
Volume | 225 |
Issue number | 2 |
DOIs | |
State | Published - Aug 2021 |
ASJC Scopus subject areas
- General Mathematics