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math.FA2025
Recovering functions via doubly homogeneous nonlocal gradients
Stefano Buccheri, Augusto C. Ponce
We investigate a class of nonlocal gradients featuring distinct homogeneities at zero and infinity. We establish a representation formula for such doubly homogeneous operators and…
math.FA2025
Generic topological screening and approximation of Sobolev maps
Pierre Bousquet, Augusto C. Ponce, Jean Van Schaftingen
This manuscript develops a framework for the strong approximation of Sobolev maps with values in compact manifolds, emphasizing the interplay between local and global topological p…