206 citations · 1.5k across the 62 of their papers we have counts for
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The equality case in Cheeger's and Buser's inequalities on spaces
Nicolò De Ponti, Andrea Mondino, Daniele Semola
We prove that the sharp Buser's inequality obtained in the framework of spaces by the first two authors is rigid, i.e. equality is obtained if and only if…
Sharp Cheeger-Buser type inequalities in spaces
Nicolò De Ponti, Andrea Mondino
The goal of the paper is to sharpen and generalise bounds involving the Cheeger's isoperimetric constant and the first eigenvalue of the Laplacian. A celebrated lower b…
Polya-Szego inequality and Dirichlet -spectral gap for non-smooth spaces with Ricci curvature bounded below
Andrea Mondino, Daniele Semola
We study decreasing rearrangements of functions defined on (possibly non-smooth) metric measure spaces with Ricci curvature bounded below by and dimension bounded above by $N…
Gaussian-type Isoperimetric Inequalities in probability spaces for positive
Luigi Ambrosio, Andrea Mondino
In this paper we adapt the well-estabilished -calculus techniques to the context of spaces, proving Bobkov's local isoperimetric inequality and, when is posi…