SEMINARI DI ANALISI MATEMATICA
Evento
- Titolo:
- On compact hypersurfaces with almost constant mean curvature
- Quando:
- 13.07.2015 14.30 h
- Dove:
- Palazzo Campana - Torino
- Relatore:
- Prof. Giulio Ciraolo
- Afferenza:
- Università di Palermo
- Proponente:
- L. Vezzoni
- Locandina:
-
Descrizione
Alexandrov’s theorem asserts that spheres are the only closed compact embedded hypersurfaces with constant mean curvature in \(\mathbb{R}^n\). In this talk we will discuss some quantitative versions of Alexandrov’s theorem, i.e. we will consider a hypersurface with mean curvature close to a constant and quantitatively describe its proximity to a ball or a collection of tangent balls of equal radii in terms of the oscillation of the mean curvature.We will also discuss these issues for the nonlocal mean curvature introduced by Caffarelli and Souganidis, showing a remarkable rigidity property of the nonlocal problem which prevents bubbling phenomena and proving the proximity to a single sphere.
Sede
- Sede:
- Palazzo Campana - Sito web
- Via:
- Via Carlo Alberto, 10
- Cap:
- 10123
- Città:
- Torino
- Provincia:
- To
- Paese:
-
Descrizione
Dipartimento di Matematica, Università degli Studi di Torino
