Min-max construction of anisotropic CMC surfaces
数学专题报告
报告题目(Title)：Min-max construction of anisotropic CMC surfaces
报告人(Speaker)：Antonio De Rosa (University of Maryland)
地点(Place)：Zoom ID: 974 9316 6138 Passcode: 421146
时间(Time)：2023 年 4月 28 日(周五), 9：00-10：00
邀请人(Inviter)：熊金钢
报告摘要
We prove the existence of nontrivial closed surfaces with constant anisotropic mean curvature with respect to elliptic integrands in closed smooth 3-dimensional Riemannian manifolds. The constructed min-max surfaces are smooth with at most one singular point. The constant anisotropic mean curvature can be fixed to be any real number. In particular, we partially solve a conjecture of Allard [Invent. Math.,1983] in dimension 3. Joint work with G. De Philippis.
* This PDE seminar is co-organized with Tianling Jin at The Hong Kong University of Science and Technology. See the seminar webpage: https://www.math.hkust.edu.hk/~tianlingjin/PDEseminar.html
