Speaker: 罗鹏教授，华中师范大学
Inviter:
Title: Quantitative analysis of positive solutions to the Lane-Emden problem in dimension two
Language: Chinese
Time & Venue: 2024.12.5 16:30-17:30 腾讯会议：584-515-980
Abstract: 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, Shusen Yan.
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