9 citations · 31 across the 29 of their papers we have counts for
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math.AP2012★ 2 cited
A low rank property and nonexistence of higher dimensional horizontal Sobolev sets
Valentino Magnani, Jan Malý, Samuele Mongodi
We establish a "low rank property" for Sobolev mappings that pointwise solve a first order nonlinear system of PDEs, whose smooth solutions have the so-called "contact property". A…
math.AP2012
Regularity estimates for convex functions in Carnot-Carathéodory spaces
Valentino Magnani, Matteo Scienza
We prove some regularity estimates for a class of convex functions in Carnot-Carathéodory spaces, generated by Hörmander vector fields. Our approach relies on both the structure of…