Cisco Webex, Online seminar
(線上演講 Cisco Webex)
Asymptotic Analysis on Multi-bubble Solutions of the Lane-Emden Equation and System
Sanghyuck Moon (Ulsan National Institute of Science and Technology)
Abstract:
It is well known that the least energy solution of the Lane-Emden system
![](https://chart.googleapis.com/chart?cht=tx&chl=%5C%5B%20-%5CDelta%20u_%7B%5Cvarepsilon%7D%3Du_%7B%5Cvarepsilon%7D%5C%5D&chf=bg,s,333333&chco=ffffff)
,
![](https://chart.googleapis.com/chart?cht=tx&chl=%5C%5Bu_%7B%5Cvarepsilon%7D%3E0%20in%20%5COmega%5C%5D&chf=bg,s,333333&chco=ffffff)
,
blow-up at a point as p = (N+2)/(N-2) −
![](https://chart.googleapis.com/chart?cht=tx&chl=%24%5Cvarepsilon%24&chf=bg,s,333333&chco=ffffff)
goes to the critical exponent. Also there are many results about the multi-bubbling phenomena of the Lane-Emden equation near the critical exponent. However, the blow-up scenario of the Lane-Emden system is more complicated than that of the classical Lane-Emden equation because of the strong nonlinear characteristic of the system. In this talk, we will study previous results for the Lane-Emden equation and introduce our results for the system.
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