3 papers
math.AP2025
A variational approach to the volume-preserving anisotropic mean curvature flow in 2D
Andrea Kubin, Domenico Angelo La Manna, Enrico Pasqualetto
In this article, we introduce a variational algorithm, in the spirit of the minimizing movements scheme, to model the volume-preserving anisotropic mean curvature flow in 2D. We sh…
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.AP2025
On the -limit of weighted fractional energies
Andrea Kubin, Giorgio Saracco, Giorgio Stefani
Given and a bounded open set with Lipschitz boundary, we study the -convergence of the weighted fractional seminorm \[ [u]_{s,p,f}^p = \in…