14 may 2025 -- 14:00 [open in google calendar]
Agenda: Get-together (30 min), presentation Antonio De Rosa (60 min), questions and discussions (30 min).
Registration required for new participants. Please go to our seminar website (allow one work day for processing).
Abstract.
We use the min-max construction to find closed optimally regular hypersurfaces with constant anisotropic mean curvature with respect to elliptic integrands in closed $n$-dimensional Riemannian manifolds. The critical step is to obtain a uniform upper bound for density ratios in the anisotropic min-max construction. This confirms a conjecture posed by Allard $[$Invent. Math., 1983$]$. The talk is based on joint work with G. De Philippis and Y. Li.