Jean Van Schaftingen

collaborators

4 papers

math.AP2025

Stationary $p$ -harmonic maps approaching planar singular harmonic maps to the circle

Marco Badran, Jean Van Schaftingen

Given a bounded planar domain $I^c ◯ \subset R^{2}$ , we show that any singular harmonic map into the circle $S^{1}$ corresponding to a topologically nondegenerate critica…

math.FA2025

Trace theory for gauge-covariant Sobolev spaces

Jean Van Schaftingen, Leon Winter

The traces of gauge-covariant Sobolev spaces on a Riemannian vector bundle for some connection are characterised as some gauge-covariant fractional Sobolev spaces when the curvatur…

math.AP2024

On the local character of the extension of traces for Sobolev mappings

Jean Van Schaftingen

We prove that a mapping $u : M^{'} \to N$ , where $M^{'}$ and $N$ are compact Riemannian manifolds, is the trace of a Sobolev mapping $U \colo…

math.AP2024

Limiting behavior of minimizing $p$ -harmonic maps in 3d as $p$ goes to $2$ with finite fundamental group

Bohdan Bulanyi, Jean Van Schaftingen, BenoÃ®t Van Vaerenbergh

We study the limiting behavior of minimizing $p$ -harmonic maps from a bounded Lipschitz domain $I^c ◯ \subset R^{3}$ to a compact connected Riemannian manifold without boundar…

Stationary p-harmonic maps approaching planar singular harmonic maps to the circle

Trace theory for gauge-covariant Sobolev spaces

On the local character of the extension of traces for Sobolev mappings

Limiting behavior of minimizing p-harmonic maps in 3d as p goes to 2 with finite fundamental group

Stationary $p$ -harmonic maps approaching planar singular harmonic maps to the circle

Limiting behavior of minimizing $p$ -harmonic maps in 3d as $p$ goes to $2$ with finite fundamental group