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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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.AP2013

Weak compactness of solutions for fourth order elliptic systems with critical growth

Paweł Goldstein, Paweł Strzelecki, Anna Zatorska-Goldstein

We consider a class of fourth order elliptic systems which include the Euler-Lagrange equations of biharmonic mappings in dimension 4 and we prove that weak limit of weak solutions…