Published in Mathematische Annalen , 2022
Description of the structure of the set where an anisotropic distance function to an arbitrary closed set is twice pointwise differentiable.
Recommended citation: Kolasiński, Sławomir and Santilli, Mario, "Regularity of the distance function from arbitrary closed sets.", 2023, Math. Ann. , Vol. 386, No. 1-2, p. 735-777
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Published in Arch. Ration. Mech. Anal., 2020
Recommended citation: Sławomir Kolasiński, Antonio De Rosa, and Mario Santilli, Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets, 2020, Arch. Ration. Mech. Anal., p. 1157--1198
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Published in Comm. Pure Appl. Math., 2020
Recommended citation: Sławomir Kolasiński and Antonio De Rosa, Equivalence of the ellipticity conditions for geometric variational problems, Comm. Pure Appl. Math. no. 11, 2020, p. 2473--2515
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Published in Comm. Anal. Geom., 2019
Recommended citation: Sławomir Kolasiński, Paweł Strzelecki, and Heiko von der Mosel, Compactness and isotopy finiteness for submanifolds with uniformly bounded geometric curvature energies, Comm. Anal. Geom., Vol. 26, No. 6 (2018), pp. 1251-1316
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Published in Calc. Var. PDE, Vol., 2018
Recommended citation: Sławomir Kolasiński and 方扬钦 (Yangqin Fang), Existence of solutions to a general geometric elliptic variational problem, Calc. Var. PDE, Vol. 57(3), 2018
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Published in Nonlinear Differ. Equ. Appl., 2017
Recommended citation: Sławomir Kolasiński and Ulrich Menne, Decay rates for the quadratic and super-quadratic tilt-excess of integral varifolds, Nonlinear Differ. Equ. Appl. (NoDEA), Vol. 24(2), 2017
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Published in Rev. Mat. Iberoamericana, 2017
Recommended citation: Sławomir Kolasiński, Higher order rectifiability of measures via averaged discrete curvatures, Rev. Mat. Iberoamericana, Vol. 33, 861-884, 2017
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Published in Trans. Amer. Math. Soc., 2015
Recommended citation: Sławomir Kolasiński, Geometric Sobolev-like embedding using high-dimensional Menger-like curvature, Trans. Amer. Math. Soc., Vol. 367, 775-811, 2015
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Published in Geom. Funct. Anal., 2013
Recommended citation: Sławomir Kolasiński, Paweł Strzelecki, and Heiko von der Mosel, Characterizing $W^{2,p}$ submanifolds by $p$-integrability of global curvatures, Geom. Funct. Anal., Vol. 23(3), 937–984, 2013
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Published in Manuscripta Math., 2012
Recommended citation: Sławomir Kolasiński and Marta Szumańska, Minimal Hölder regularity implying finiteness of integral Menger curvature, Manuscripta Math., Vol. 141, Issue 1, 125–147, 2013
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Published in Adv. Math., 2012
Recommended citation: Sławomir Kolasiński and Simon Blatt, Sharp Boundedness and Regularizing effects of the integral Menger curvature for submanifolds, Adv. Math., Vol. 230(3), 839–852, 2012
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Published in Differential and Integral Equations, 2010
Recommended citation: Sławomir Kolasiński, Regularity of weak solutions of $n$-dimensional H-systems, Differential and Integral Equations, Vol. 23, Num. 11-12, 1073-1090, 2010
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Published in arXiv, 2016
Recommended citation: Sławomir Kolasiński, Estimating discrete curvatures in terms of beta numbers, 2016, arXiv:1605.00939
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Published in Ph.D. Thesis, 2012
Ph.D. Thesis
Recommended citation: Sławomir Kolasiński, Integral Menger curvature for sets of arbitrary dimension and codimension, Ph.D. Thesis
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