4 papers
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance
F. -U. Caja-Lopez, Matias G. Delgadino, Jun Kitagawa
We establish several quantitative stability estimates for optimal transport maps between non-degenerate densities on uniformly convex domains for the quadratic cost. Under Hölder r…
Quantitative stability of the Rossby--Haurwitz waves of degree two for the Euler equation on
Matias G. Delgadino, Luca Melzi
We show that the degree-2 Rossby--Haurwitz travelling waves on the Euler equation on are orbitally stable. Our proof is short, quantitative, and conceptually easy to…
Alexandrov's theorem revisited
M. G. Delgadino, F. Maggi
We show that among sets of finite perimeter balls are the only volume-constrained critical points of the perimeter functional.
Bubbling with -almost constant mean curvature and an Alexandrov-type theorem for crystals
M. G. Delgadino, F. Maggi, C. Mihaila +1
A compactness theorem for volume-constrained almost-critical points of elliptic integrands is proven. The result is new even for the area functional, as almost-criticality is measu…