18 citations · 62 across the 31 of their papers we have counts for
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math.FA2011
Sobolev mappings, degree, homotopy classes and rational homology spheres
Pawel Goldstein, Piotr Hajlasz
In the paper we investigate the degree and the homotopy theory of Orlicz-Sobolev mappings between manifolds, where the Young function satisfies a divergence cond…
math.FA2011★ 3 cited
Sobolev mappings: Lipschitz density is not an isometric invariant of the target
Piotr Hajlasz
If is a compact smooth manifold and is a compact metric space, the Sobolev space is defined through an isometric embedding of into a Banach space. We pro…
math.FA2011★ 3 cited
On the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target
Noel DeJarnette, Piotr Hajlasz, Anton Lukyanenko +1
We study the question: when are Lipschitz mappings dense in the Sobolev space ? Here denotes a compact Riemannian manifold with or without boundary, wh…