Abstract
We study a variant of the Alt, Caffarelli, and Friedman free boundary problem. with many phases and a slightly different volume term, which we originally (designed to guess the localization of eigenfunctions of a Schrödinger operator in a domain. We prove Lipschitz bounds for the functions and some nondegeneracy and regularity properties for the domains.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1-212 |
| Number of pages | 212 |
| Journal | Asterisque |
| Volume | 2017 |
| Issue number | 392 |
| State | Published - 2017 |
Keywords
- Free boundary problem
- Localization of eigenfunctions