3 papers
math.AP2025
On variational scheme modeling the anisotropic surface diffusion with elasticity in the plane
Andrea Kubin
In this paper, we prove the existence of classical solutions for the anisotropic surface diffusion with elasticity in the plane using a minimizing movements scheme, provided that t…
math.AP2024
Discrete and Continuum Area-Preserving Mean-Curvature Flow of Rectangles
Marco Cicalese, Andrea Kubin
We investigate the area-preserving mean-curvature-type motion of a two-dimensional lattice crystal obtained by coupling constrained minimizing movements scheme introduced by Almgre…
math.FA2024
A notion of -fractional mass for -currents in higher codimension
Marco Cicalese, Tim Heilmann, Andrea Kubin +2
In this paper we propose a notion of -fractional mass for -currents in . Such a notion generalizes the notion of -fractional perimeters for sets in the plane to high…