Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

L. Spolaor - G. De Philippis - B. Velichkov

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

created by velichkov on 04 Nov 2019
modified by dephilipp on 07 Nov 2019

[BibTeX]

Preprint

Inserted: 4 nov 2019
Last Updated: 7 nov 2019

Year: 2019

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.


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1