Generalized \(N\)-property and Sard theorem for Sobolev maps
Summary: I report on some recent extensions of the Lusin \(N\)-property and the Sard theorem for Sobolev maps, which have been obtained in a joint work with \textit{M. Csörnyei} and \textit{B. Kirchheim} [``On the Sard theorem for Sobolev maps'' (in preparation)] and \textit{M. Csörnyei, E. D'Aniello} and \textit{B. Kirchheim} [``Generalized Lusin \(N\)-property for Sobolev maps'' (in preparation)]. Our research was originally motivated by questions related to the uniqueness of weak solutions for the continuity equation associated to a vector field with Sobolev regularity.
scientific article; zbMATH DE number 6127545
scientific article