10 citations · 10 across the 3 of their papers we have counts for
4 papers
The Bernstein problem for Sobolev intrinsic graphs in the Heisenberg group
Sebastiano Nicolussi Golo, Francesco Serra Cassano, Mattia Vedovato
In the first Heisenberg group, we study entire, locally Sobolev intrinsic graphs that are stable for the sub-Riemannian area. We show that, under appropriate integrability conditio…
A Talenti-type comparison theorem for spaces and applications
Andrea Mondino, Mattia Vedovato
We prove pointwise and -gradient comparison results for solutions to elliptic Dirichlet problems defined on open subsets of a (possibly non-smooth) space with positive Ricci…
Multi-marginal optimal transport on the Heisenberg group
Brendan Pass, Andrea Pinamonti, Mattia Vedovato
We consider the multi-marginal optimal transport of aligning several compactly supported marginals on the Heisenberg group to minimize the total cost, which we take to be the sum o…
Quantitative regularity for -minimizing maps through a Reifenberg Theorem
Mattia Vedovato
In this article we extend to generic -energy minimizing maps between Riemannian manifolds a regularity result which is known to hold in the case . We first show that the se…