P. Goldstein

activity

20112024

most citedCharacterizations of generalized John domains in

R^{n}

via metric duality

1 citations · 1 across the 10 of their papers we have counts for

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Showing 2017 · math.CAShow all

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math.CA2017

Finite distortion Sobolev mappings between manifolds are continuous

Paweł Goldstein, Piotr Hajłasz, Mohammad Reza Pakzad

We prove that if $M$ and $N$ are Riemannian, oriented $n$ -dimensional manifolds without boundary and additionally $N$ is compact, then Sobolev mappings $W^{1, n} (M, N)$ of finite dis…

math.CA2017

Modulus of continuity of orientation preserving approximately differentiable homeomorphisms with a.e. negative Jacobian

Paweł Goldstein, Piotr Hajłasz

We construct an a.e. approximately differentiable homeomorphism of a unit $n$ -dimensional cube onto itself which is orientation preserving, has the Lusin property (N) and has the J…