报告题目：The Dirichlet problem for the minimal surface systems on smooth domains

报告人：周恒宇 副研究员（重庆大学）

邀请人：艾万君

报告时间：2026年11月6日（星期五）15:00-16:00

报告地点：数学大楼814

参加人员：教师、研究生、本科生

报告摘要：In this paper, we discuss the Dirichlet problem for the minimal surface systems on smooth domains. We propose a new assumption that involves a small oscillation for maps from smooth bounded domains into Euclidean spaces. Plus assuming that the domain has non-negative Ricci curvature, we solve the Dirichlet problem for the minimal surface system via the mean curvature flow (MCF) with boundary. The long-time existence of such flow comes from Bernstein-type theorems of higher codimensional self-shrinkers in Euclidean space and in half-spaces. We also give an existence result for an exterior Dirichlet problem of the minimal surface system. This is a joint work with Li, Caiyan from Xiamen University.

报告人简介：周恒宇，重庆大学数学与统计学院副研究员。获美国纽约城市大学研究生中心博士学位，此后在南京大学、中山大学从事博士后研究，随后入职重庆大学。研究领域为几何分析与几何测度论，主要研究平均曲率流、极小曲面与预定平均曲率曲面的 Dirichlet 问题及 Plateau 问题、流形上的比较定理。已在 J. Funct. Anal.、Int. Math. Res. Not.、Math. Res. Lett.、Sci. China Math.、J. Geom. Anal.、Proc. Amer. Math. Soc.、Rev. Mat. Iberoam.、Forum Math. 等期刊发表论文十余篇，主持国家自然科学基金青年项目、中国博士后科学基金面上项目等。