5 papers
Quantitative isoperimetric inequalities in capillarity problems and cones in strong and barycentric forms
Davide Carazzato, Giulio Pascale, Marco Pozzetta
We study quantitative isoperimetric inequalities for two different perimeter-type functionals. We first consider classical capillarity functionals, which measure the perimeter of s…
A sharp spectral splitting theorem
Gioacchino Antonelli, Marco Pozzetta, Kai Xu
We prove a sharp spectral generalization of the Cheeger--Gromoll splitting theorem. We show that if a complete non-compact Riemannian manifold of dimension has at lea…
Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature
Gioacchino Antonelli, Marco Pozzetta, Daniele Semola
Let be a complete Riemannian manifold which is not isometric to , has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature…
Positive mass and isoperimetry for continuous metrics with nonnegative scalar curvature
Gioacchino Antonelli, Mattia Fogagnolo, Stefano Nardulli +1
This paper deals with quasi-local isoperimetric versions of the positive mass theorem on -manifolds endowed with continuous complete metrics having nonnegative scalar curvature…
Quantitative isoperimetric inequalities for classical capillarity problems
Giulio Pascale, Marco Pozzetta
We consider capillarity functionals which measure the perimeter of sets contained in a Euclidean half-space assigning a constant weight to the portion of the boundary…