P. Goldstein

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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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math.GN2017★ 1 cited

Characterizations of generalized John domains in $R^{n}$ via metric duality

Pawel Goldstein, Zofia Grochulska, Chang-Yu Guo +2

In this paper, we extend the characterization of John disks obtained by Näkki and Väisälä [Exp. Math. 1991] to generalized John domains in higher dimensions under mild assumptions.…

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.AP2017

Uhlenbeck's decomposition in Sobolev and Morrey-Sobolev spaces

Pawel Goldstein, Anna Zatorska-Goldstein

We present a self-contained proof of Uhlenbeck's decomposition theorem for $Ω \in L^{p} (B^{n}, so (m) \otimes Λ^{1} R^{n})$ for $p \in (1, n)$ with Sobolev type estimates in the…

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…

Characterizations of generalized John domains in Rn via metric duality

Finite distortion Sobolev mappings between manifolds are continuous

Uhlenbeck's decomposition in Sobolev and Morrey-Sobolev spaces

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

Characterizations of generalized John domains in $R^{n}$ via metric duality