报告题目：Calculus of variations on locally finite graphs

主讲人：杨云雁 教授（中国人民大学）

报告时间：11月25日（周五）9:00-10:00

报告地点：腾讯会议 ID: 695-231-820

主办单位：威廉希尔中文网站

报告摘要：

Let G = (V , E) be a locally finite graph. Firstly, using calculus of variations, includ-ing a direct method of variation and the mountain-pass theory, we get sequences of solutions to several local equations on G (the Schrödinger equation, the mean field equation, and the Yamabe equation). Secondly, we derive uniform estimates for those local solution sequences. Finally, we obtain global solutions by extracting convergent sequence of solutions. Our method can be described as a variational method from local to global.

主讲人简介：

杨云雁，中国人民大学教授、博士生导师，主要研究方向为偏微分方程与几何分析，在Calc. Var. Partial Differential Equations，J. Funct. Anal.，J. Differential Equations，Sci. China Math等国际知名期刊上发表论文70余篇。近几年，杨云雁教授在离散几何分析、图上的偏微分方程等方面取得了很多开创性的成果。