Abstract
We prove that the boundary of a (not necessarily connected) bounded smooth set with constant nonlocal mean curvature is a sphere. More generally, and in contrast with what happens in the classical case, we show that the Lipschitz constant of the nonlocal mean curvature of such a boundary controls its C2-distance from a single sphere. The corresponding stability inequality is obtained with a sharp decay rate.
Lingua originale | English |
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pagine (da-a) | 275-294 |
Numero di pagine | 20 |
Rivista | JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK |
Volume | 2018 |
Stato di pubblicazione | Published - 2018 |
All Science Journal Classification (ASJC) codes
- ???subjectarea.asjc.2600.2600???
- ???subjectarea.asjc.2600.2604???