中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：Antonio De Rosa（University of Maryland）
题 目：Min-max construction of anisotropic CMC surfaces
时 间：2022.08.25（星期四）21:00-22:00
地 点：Zoom ID: 924 888 5804 Passcode: AMSS2022
Join Zoom Meeting :
https://us06web.zoom.us/j/9248885804?pwd=OXg2VDhBT0pxRkd1Z3RJS0NFMnRDdz09
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.
附件：