Abstract
We study a 2-phase free boundary problem for harmonic measure first considered by Kenig and Toro [21] and prove a sharp Hölder regularity result. The central difficulty is that there is no a priori non-degeneracy in the free boundary condition. Thus we must establish non-degeneracy by means of monotonicity formulae.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 859-905 |
| Number of pages | 47 |
| Journal | Annales Scientifiques de l'Ecole Normale Superieure |
| Volume | 49 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jul 1 2016 |
| Externally published | Yes |
Bibliographical note
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