Regularity of the free boundary for the two-phase Bernoulli problem
Analysis of PDEs
2019-11-15 v2
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.
Keywords
Cite
@article{arxiv.1911.02165,
title = {Regularity of the free boundary for the two-phase Bernoulli problem},
author = {Guido De Philippis and Luca Spolaor and Bozhidar Velichkov},
journal= {arXiv preprint arXiv:1911.02165},
year = {2019}
}
Comments
Minor typos corrected