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

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4 papers · 1 filter

math.AP2026

Regularity for $H$ -systems of bounded distortion

Sławomir Kolasiński

We consider weak solutions $u \in W^{1, n} (U, R^{n + 1})$ of the $H$ -system $- div (∣ D u ∣^{n - 2} D u) = (H \circ u) J u$ , where $…

math.AP2026

Rectifiability of every finite order for stationary integral varifolds

Sławomir Kolasiński

We give an alternative proof of a theorem of Brena, De Lellis and Franceschini (arXiv:2503.00649): the support of a stationary integral $d$ dimensional varifold in an open subset o…

math.AP2026

Geometry of the Atomic Condition

Jacek Jakimiuk, Sławomir Kolasiński, Maciej Leśniak

The class AC of integrands satisfying the atomic condition was introduced by De Philippis, De Rosa, and Ghiraldin in 2018. These integrands give rise to Almgren elliptic geometric…

math.AP2026

Perpendicularity and Locality for Codimension-One Varifolds with Bounded Anisotropic Mean Curvature

Sławomir Kolasiński, Mario Santilli

Suppose $F$ is an integrand associated with a uniformly convex $C^{3}$ -norm, and $V$ is a $n$ -dimensional varifold in an open subset of $R^{n + 1}$ such…

Regularity for H-systems of bounded distortion

Rectifiability of every finite order for stationary integral varifolds

Geometry of the Atomic Condition

Perpendicularity and Locality for Codimension-One Varifolds with Bounded Anisotropic Mean Curvature

Regularity for $H$ -systems of bounded distortion