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

Guido De Philippis, Luca Spolaor, Bozhidar Velichkov

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
JournalInventiones Mathematicae
StateAccepted/In press - 2021

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Regularity of the free boundary for the two-phase Bernoulli problem'. Together they form a unique fingerprint.

Cite this