报告名称:Solutions bounded form below to some elliptic equations in unbounded cylinder
报告专家:周春琴
专家所在单位:上海交通大学
报告时间:2024-09-07
报告地点:永利集团88304官网203
专家简介:周春琴教授,长期从事非线性偏微分方程及其应用的研究,特别是对椭圆偏微分方程的存在性和正则性理论,调和映射的正则性理论,和半线性椭圆型方程的blow-up分析理论和存在性方法进行过系统的研究,并取得了一些有意义的研究成果。相关工作发表在J. Differential Geom., Math. Ann., J. Funct. Anal., Ann. Inst. H. Poincaré Anal. Non Linéaire, Comm. Partial Differential Equations, Calc. Var. Partial Differential Equations, J. Math. Pures Appl. 等杂志上。
报告摘要:In this talk, I will introduce some results about the classification and asymptotic behaviors of solutions bounded from below to some elliptic equations in unbounded cylinders with zero boundary condition. In addition, I will introduce the dimensional estimate of the solution spaces with a given exponential growth.