Sławomir Kolasiński

activity

20102026

most citedUniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets

20 citations · 147 across the 16 of their papers we have counts for

collaborators

Showing 2012Show all

2 papers · 1 filter

math.FA2012★ 17 cited

Geometric Sobolev-like embedding using high-dimensional Menger-like curvature

Sławomir Kolasiński

We study a modified version of Lerman-Whitehouse Menger-like curvature defined for m+2 points in an n-dimensional Euclidean space. For 1 <= l <= m+2 and an m-dimensional subset S o…

math.CA2012★ 19 cited

Characterizing $W^{2, p}$ ~submanifolds by $p$ -integrability of global curvatures

Sławomir Kolasiński, Paweł Strzelecki, Heiko von der Mosel

We give sufficient and necessary geometric conditions, guaranteeing that an immersed compact closed manifold $Σ^{m} \subset R^{n}$ of class $C^{1}$ and of arbitrary dimension and codimen…

Geometric Sobolev-like embedding using high-dimensional Menger-like curvature

Characterizing W2,p~submanifolds by p-integrability of global curvatures

Characterizing $W^{2, p}$ ~submanifolds by $p$ -integrability of global curvatures