3 papers
math.AP2026
Lectures on Existence and Regularity of Anisotropic Minimal Surfaces
Antonio De Rosa
For several natural phenomena, the use of the surface area functional is a first approximation. In order to capture microstructures, numerous models in applied sciences employ dire…
math.DG2026
Min-Max Construction of Anisotropic Minimal Surfaces with Genus Bound
Antonio De Rosa, Aria Halavati, Ling Wang
We establish an anisotropic analogue of the celebrated theorem of Meeks-Simon-Yau: every minimizing sequence of surfaces within a fixed isotopy class converges to a smooth stable a…
math.DG2025
Anisotropic min-max via phase transitions
Antonio De Rosa, Alessandro Pigati
We develop a PDE-based approach to the min-max construction of nontrivial integer rectifiable varifolds that are stationary with respect to anisotropic surface energies on closed R…