Showing math.FAShow all
3 papers · 1 filter
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.FA2025
Trace conjunction inequalities
Jean Van Schaftingen
Trace conjunction integrals are introduced and studied. They appear in trace conjunction inequalities which unify the Hardy inequality on a halfspace and the classical Gagliardo tr…
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…