Jean Van Schaftingen

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math.AP2025

Equi-integrable approximation of Sobolev mappings between manifolds

Jean Van Schaftingen

We show that limits of sequences of smooth maps between compact Riemannian manifolds with equi-integrable $W^{1, p}$ -Sobolev energy can always be strongly approximated by smooth ma…

math.AP2025

Extensions of traces for Sobolev mappings into manifolds at the endpoint $p = 1$

Jean Van Schaftingen, Benoît Van Vaerenbergh

We give direct proofs and constructions of the trace and extension theorems for Sobolev mappings in $W^{1, 1} (M, N)$ , where $M$ is Riemannian manifold with compact boundary $\part…

math.AP2024

Limiting Korn-Maxwell-Sobolev inequalities for general incompatibilities

Franz Gmeineder, Peter Lewintan, Jean Van Schaftingen

We give sharp conditions for the limiting Korn-Maxwell-Sobolev inequalities \begin{align*} \lVert P\rVert_{\dot{W}{^{k-1,\frac{n}{n-1}}}(\mathbb{R}^n)}\le c\big(\lVert\mathscr{A}[P…

Equi-integrable approximation of Sobolev mappings between manifolds

Extensions of traces for Sobolev mappings into manifolds at the endpoint p=1

Limiting Korn-Maxwell-Sobolev inequalities for general incompatibilities

Extensions of traces for Sobolev mappings into manifolds at the endpoint $p = 1$