Abstract
We prove that bounded solutions to an overdetermined fully nonlinear free boundary problem in the plane are one dimensional. Our proof relies on maximum principle techniques and convexity arguments.
| Original language | English |
|---|---|
| Pages (from-to) | 111-132 |
| Number of pages | 22 |
| Journal | Annali della Scuola Normale - Classe di Scienze |
| Volume | 9 |
| Issue number | 1 |
| Publication status | Published - 1 Dec 2010 |
| Externally published | Yes |