2 citations · 4 across the 10 of their papers we have counts for
11 papers
The weak Harnack inequality and the rigidity of the anisotropic Trudinger's equation
Simone Ciani, Mattia Galeotti, Igor Skrypnik
We prove a local weak Harnack inequality for nonnegative weak super-solutions to the anisotropic Trudinger equation. As an application, we show a proof of the Harnack inequality th…
Critical concave-convex problems in Carnot groups
Mattia Galeotti, Eugenio Vecchi
We consider a model Dirichlet problem with concave-convex and critical nonlinearity settled in Carnot groups. Our aim is to prove the existence of two positve solutions in the spir…
Benamou-Brenier and Kantorovich on sub-Riemannian manifolds with no abnormal geodesics
Giovanna Citti, Mattia Galeotti, Andrea Pinamonti
We prove that the Benamou-Brenier formulation of the Optimal Transport problem and the Kantorovich formulation are equivalent on a sub-Riemannian connected and complete manifold $M…
Critical singular problems in Carnot groups
Stefano Biagi, Mattia Galeotti, Eugenio Vecchi
We consider a power-type mild singular perturbation of a Dirichlet semilinear critical problem settled in an open and bounded set in a Carnot group. Here, the term critical has to…
An extension to non-nilpotent groups of Rothschild-Stein lifting method
Mattia Galeotti
In their celebrated paper of 1976, Rothschild and Stein prove a lifting procedure that locally reduces to a free nilpotent Lie algebra any family of smooth vector fields $X_1,\dots…
A framework for stereo vision via optimal transport
Mattia Galeotti, Alessandro Sarti, Giovanna Citti
We present a theoretical framework for a stereo vision method via optimal transport tools. We consider two aligned optical systems and we develop the matching between the two pictu…
The cortical V1 transform as a heterogeneous Poisson problem
Alessandro Sarti, Mattia Galeotti, Giovanna Citti
Receptive profiles of V1 cortical cells are very heterogeneous and act by differentiating the stimulus image as operators changing from point to point. A lightness and color consta…
Cortically based optimal transport
Mattia Galeotti, Giovanna Citti, Alessandro Sarti
We introduce a model for image morphing in the primary visual cortex V1 to perform completion of missing images in time. We model the output of simple cells through a family of Gab…
Birational geometry of moduli of curves with an -cover
Mattia Galeotti
We consider the space of curves with a connected -cover, proving that for any odd genus this moduli is of general type. Furthermore we de…
Moduli spaces of abstract and embedded Kummer varieties
Mattia Galeotti, Sara Perna
In this paper, we investigate the construction of two moduli stacks of Kummer varieties. The first one is the stack of abstract Kummer varieties and the…
Singularities of moduli of curves with a universal root
Mattia Galeotti
In a series of recent papers, Chiodo, Farkas and Ludwig carry out a deep analysis of the singular locus of the moduli space of stable (twisted) curves with an -torsion line b…