Publications

Paweł Goldstein

Number of publications: 19

2025

• Paweł Goldstein , Zofia Grochulska , Piotr Hajłasz, Constructing diffeomorphisms and homeomorphisms with prescribed derivative, Advances in Mathematics, 460 2025, p. 110020, 1-65. See in PBN
• Paweł Goldstein , Zofia Grochulska , Piotr Hajłasz, Gluing diffeomorphisms, bi-Lipschitz mappings and homeomorphisms, Expositiones Mathematicae, 43 (4) 2025, p. 125681: 1-17. See in PBN

2024

• Chang-Yu Guo, Pekka Koskela, Debanjan Nandi, Paweł Goldstein , Zofia Grochulska , Characterizations of generalized John domains via homological bounded turning, Colloquium Mathematicum, 176 (1) 2024, p. 1-20. See in PBN

2023

• Piotr Hajłasz, Paweł Goldstein , Smooth approximation of mappings with rank of the derivative at most 1, Calculus of Variations and Partial Differential Equations, 62 (3) 2023. See in PBN

2020

• Paweł Goldstein , Piotr Hajłasz, Pekka Pankka, Topologically Nontrivial Counterexamples to Sard’s Theorem, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020 (20) 2020, p. 7073–7096. See in PBN

2019

• Paweł Goldstein , Piotr Hajłasz, Mohammad Reza Pakzad, Finite Distortion Sobolev Mappings between Manifolds are Continuous, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2019 (14) 2019, p. 4370–4391. See in PBN
• Paweł Goldstein , Piotr Hajłasz, Jacobians of W1,p homeomorphisms, case p=[n/2], Calculus of Variations and Partial Differential Equations, 58 2019, p. 122:1-22. See in PBN
• Maciej Borodzik , Paweł Goldstein , Piotr Rybka , Anna Zatorska-Goldstein , Problems on Partial Differential Equations, 2019. See in PBN
• Paweł Goldstein , Piotr Hajłasz, Topological obstructions to continuity of Orlicz--Sobolev mappings of finite distortion, Annali di Matematica Pura ed Applicata, 198 (1) 2019, p. 243-262. See in PBN

2018

• Paweł Goldstein , Piotr Hajłasz, C1 mappings in R5 with derivative of rank at most 3 cannot be uniformly approximated by C2 mappings with derivative of rank at most 3, Journal of Mathematical Analysis and Applications, 468 (2) 2018, p. 1108-1114. See in PBN
• Paweł Goldstein , Piotr Hajłasz, Modulus of continuity of orientation preserving approximately differentiable homeomorphisms with a.e. negative Jacobian, Annales Academiae Scientiarum Fennicae Mathematica, 43 (1) 2018, p. 47–170. See in PBN
• Paweł Goldstein , Anna Zatorska-Goldstein , Uhlenbeck’s Decomposition in Sobolev and Morrey–Sobolev Spaces, Results in Mathematics, 73 (2) 2018, p. 71:1-71:31. See in PBN

2017

• Paweł Goldstein , Piotr Hajłasz, A measure and orientation preserving homeomorphism with approximate Jacobian equal -1 almost everywhere, Archive for Rational Mechanics and Analysis, 225 (1) 2017, p. 65–88. See in PBN

2013

• Paweł Goldstein , Paweł Strzelecki , Anna Zatorska-Goldstein , Weak compactness of solutions for fourth order elliptic systems with critical growth, Studia Mathematica, 214 (2) 2013, p. 137-156. See in PBN

2012

• Paweł Goldstein , Piotr Hajłasz, Sobolev Mappings, Degree, Homotopy Classes and Rational Homology Spheres, Journal of Geometric Analysis, 2012. See in PBN

2009

• Paweł Goldstein , Gradient flow of a harmonic function in R³, Journal of Differential Equations, 2009. See in PBN

2008

• Paweł Goldstein , Anna Zatorska-Goldstein , Calderon-Zygmund type estimates for nonlinear systems with quadratic growth on the Heisenberg group, Forum Mathematicum, 2008. See in PBN
• Paweł Goldstein , On the long-time behaviour of solutions of the p-Laplacian parabolic system, Colloquium Mathematicum, 2008. See in PBN

2002

• Paweł Goldstein , Kovalevska vs. Kovacic - two different notions of integrability and their connections, BANACH CENTER PUBLICATIONS, 2002. See in PBN