3 papers
math.FA2025
Morrey--Sobolev inequalities with power weights on the half-space
Jean Van Schaftingen, Leon Winter
Morrey--Sobolev inequalities are established for functions in weighted Sobolev spaces on the -dimensional half-space, where the weight is a power of the distance to the boundary…
math.AP2025
Extensions of traces for Sobolev mappings into manifolds at the endpoint
Jean Van Schaftingen, Benoît Van Vaerenbergh
We give direct proofs and constructions of the trace and extension theorems for Sobolev mappings in , where is Riemannian manifold with compact boundary $\part…
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…