Identifies the strong L^p-closure L_Z^p(D) of vector fields with finite integer singularities on bi-Lipschitz domains and proves it is weakly sequentially closed for p in (1,infty), with characterization via minimal connections.
Density of smooth functions be tween two manifolds in Sobolev spaces
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Weak and strong $L^p$-limits of vector fields with finitely many integer singularities in dimension $n$
Identifies the strong L^p-closure L_Z^p(D) of vector fields with finite integer singularities on bi-Lipschitz domains and proves it is weakly sequentially closed for p in (1,infty), with characterization via minimal connections.