Publications

Sławomir Kolasiński

Number of publications: 12

2022

• Mario Santilli, Sławomir Kolasiński , Regularity of the distance function from arbitrary closed sets, Mathematische Annalen, 2022. See in PBN

2020

• Antonio De Rosa, Sławomir Kolasiński , Equivalence of the Ellipticity Conditions for Geometric Variational Problems, Communications on Pure and Applied Mathematics, 73 (11) 2020, p. 2473-2515. See in PBN
• Antonio De Rosa, Sławomir Kolasiński , Mario Santilli, Uniqueness of Critical Points of the Anisotropic Isoperimetric Problem for Finite Perimeter Sets, Archive for Rational Mechanics and Analysis, 238 (3) 2020, p. 1157 - 1198. See in PBN

2018

• Sławomir Kolasiński , Paweł Strzelecki , Heiko von der Mosel, Compactness and isotopy finiteness for submanifolds with uniformly bounded geometric curvature energies, Communications in Analysis and Geometry, 26 (6) 2018, p. 1251-1316. See in PBN
• Yangqin Fang, Sławomir Kolasiński , Existence of solutions to a general geometric elliptic variational problem, Calculus of Variations and Partial Differential Equations, 57 (3) 2018, p. 91:1-91:71. See in PBN

2017

• Sławomir Kolasiński , Ulrich Menne, Decay rates for the quadratic and super-quadratic tilt-excess of integral varifolds, Nonlinear Differential Equations and Applications, 24 (2) 2017. See in PBN
• Sławomir Kolasiński , Higher order rectifiability of measures via averaged discrete curvatures, Revista Matematica Iberoamericana, 33 (3) 2017, p. 861 - 884. See in PBN

2015

• Sławomir Kolasiński , Geometric Sobolev-like embedding using high-dimensional Menger-like curvature, Transactions of the American Mathematical Society, 367 (2) 2015, p. 775 - 811. See in PBN

2013

• Sławomir Kolasiński , Paweł Strzelecki , Heiko von der Mosel, Characterizing W^{2,p} Submanifolds by p-Integrability of Global Curvatures, Geometric and Functional Analysis, 23 (3) 2013, p. 937-984. See in PBN
• Sławomir Kolasiński , Marta Szumańska , Minimal Hölder regularity implying finiteness of integral Menger curvature, Manuscripta Mathematica, 141 (1-2) 2013, p. 125 - 147. See in PBN

2012

• Simon Blatt, Sławomir Kolasiński , Sharp Boundedness and Regularizing effects of the integral Menger curvature for submanifolds, Advances in Mathematics, 230 (3) 2012, p. 839 - 852. See in PBN

2010

• Sławomir Kolasiński , Regularity of weak solutions of n- dimensional H- systems, Differential and Integral Equations, 23 (11-12) 2010, p. 1073 - 1090. See in PBN