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：数统学院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.