From the 1 of 5 linked papers with an AI index.
5 papers
The weak Harnack inequality and the rigidity of the anisotropic Trudinger's equation
Simone Ciani, Mattia Galeotti, Igor Skrypnik
The paper establishes a local weak Harnack inequality for nonnegative weak super‑solutions of the anisotropic Trudinger equation and uses it to derive a Harnack inequality without…
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…