P. Goldstein

activity

20132018

collaborators

3 papers

math.CA2018

Jacobians of $W^{1, p}$ homeomorphisms, case $p = [n /2]$

Paweł Goldstein, Piotr Hajłasz

We investigate a known problem whether a Sobolev homeomorphism between domains in $R^{n}$ can change sign of the Jacobian. The only case that remains open is when $f\in W^{1…

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.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…

Jacobians of W1,p homeomorphisms, case p=[n/2]

Finite distortion Sobolev mappings between manifolds are continuous

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

Jacobians of $W^{1, p}$ homeomorphisms, case $p = [n /2]$