Sławomir Kolasiński

collaborators

3 papers

math.AP2026

Geometry of the Atomic Condition

Jacek Jakimiuk, SÅawomir KolasiÅski, Maciej LeÅniak

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

SÅawomir KolasiÅski, 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…

math.AP2026

Quadratic flatness and Regularity for Codimension-One Varifolds with Bounded Anisotropic Mean Curvature

SÅawomir KolasiÅski, Mario Santilli

We prove that if $V$ is a $n$ -dimensional varifold in an open subset of $R^{n + 1}$ with bounded anisotropic mean curvature such that $spt ∥ V ∥$ has locally…