广州数学大讲坛第六期
第六十讲——华中师范大学罗鹏教授学术报告
题目：Quantitative analysis of positive solutions to the Lane-Emden problem in dimension two
时间：2024年9月26日(星期四)晚上19:00-21:30
地点：腾讯会议（会议ID:142-425-320）
报告人：罗鹏 教授
摘要：In this talk，we are concerned with the well-known Lane-Emden problem. Improving some known asymptotic estimates on the solutions, we prove the non-degeneracy and local uniqueness of the multi-spikes positive solutions for general domains. Our methods mainly use ODE’s theory, various local Pohozaev identities, blow-up analysis, morse index, topological degree and the properties of Green's function. These are jointed with Massimo Grossi, Isabella Ianni, ShusenYan.
