4 papers · 1 filter
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 -Sobolev energy can always be strongly approximated by smooth ma…
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…
The extension of traces for Sobolev mappings between manifolds
Jean Van Schaftingen
The compact Riemannian manifolds and for which the trace operator from the first-order Sobolev space of mappings $\smash{\dot{W}}^{1, p} (\mathcal{M}, \…
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…