Sep 14 – 16, 2020
Europe/Rome timezone

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

Sep 14, 2020, 4:00 PM
Chairman: Tamara Grava

Chairman: Tamara Grava

Scientific Programme


Guido De Philippis (Curant Institute / SISSA )


I will illustrate a recent result obtained in collaboration with L. Spolaor and B. Velichkov concerning the regularity of the free boundaries in the two phase Bernoulli problems. The new main point is the analysis of the free boundary close to branch points, where we show that it is given by the union of two $C^1$ graphs. This complete the analysis started by Alt Caffarelli Friedman in the 80’s.

Primary author

Guido De Philippis (Curant Institute / SISSA )

Presentation materials