中科院数学与系统科学研究院
数学研究所
学术报告
非线性分析研讨班
时 间：2021.12.14（星期二）下午
地 点：腾讯会议：869 649 467
n 下午13：30-14：30
报告人：彭锐教授 （江苏师范大学）
题 目：A brief review on some principal eigenvalue problems of elliptic and time-periodic parabolic operators
摘 要：In this talk, we shall give a brief review on the progress of some principal eigenvalue problems of a linear second order elliptic or time-periodic operator, which mainly focuses on the asymptotic behavior of the principal eigenvalue with respect to some parameters such as the diffusion rate, large advection, etc. We are particularly interested in the role of boundary conditions and spatial/temporal degeneracies on the behavior of the principal eigenvalue.
n 下午14：30-15：30
报告人：刘海东副教授 （嘉兴学院）
题 目：Positive solution of a coupled Schrodinger system with critical exponent
摘 要：We establish the existence of a positive solution at high energy level for a coupled Schrodinger system with critical exponent. Our result extends the result of [Benci-Cerami, JFA, 1990] from a scalar field equation to a system. This is joint work with Prof. Zhaoli Liu.
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