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Showing 2012 · math.APShow all
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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★ 3 cited
Compactness of special functions of bounded higher variation
Luigi Ambrosio, Francesco Ghiraldin
Given an open set Ω\subset\R^m and n>1, we introduce the new spaces GB_nV(Ω) of Generalized functions of bounded higher variation and GSB_nV(Ω) of Generalized special functions of…