数学研究所

调和分析及其应用研究中心

学术报告

       偏微分方程研讨班

Speaker: Antonio De Rosa（Bocconi University）

Title: Min-max construction of anisotropic minimal hypersurfaces.

Time&Venue: 2024年1月9日（星期四）10:00-11:00& S803

Abstract:I will present the min-max construction of 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.