【学术报告】On the number of critical points of solutions of elliptic equations

报告人: Prof. Massimo Grossi (意大利 罗马第一大学)

报告时间：2023/01/15(下周一) 北京时间下午8:00-9:00 

Zoom会议链接：https://utoronto.zoom.us/j/81444693377

Zoom Meeting ID (会议号)：814 4469 3377

Title(题目): On the number of critical points of solutions of elliptic equations

Abstract(摘要): We study the number of the critical points of solutions of partial elliptic equations. Basically we consider solutions of the equation -\Delta u=f(u) with zero Dirichlet boundary condition. Although this is a classic problem that has been studied for many years, there are still many open problems and important conjectures to prove. In this talk we will mainly consider two cases:

i)the case of contractile domains;

ii) the case of domains with small holes.

In the conference we will start from classic results (Gidas-Ni-Nirenberg, Cabrè- Chanillo) up to recent improvements.

报告人简介:  Massimo Grossi，意大利罗马第一大学数学系教授。已在Duke Math. J., J. Eur. Math. Soc., Amer. J. Math., Proc. Lond. Math. Soc., Ann. Sc. Norm. Super. Pisa Cl. Sci., Adv. Math., Arch. Ration. Mech. Anal., J. Math. Pures Appl., Math. Ann., Ann. Inst. H. Poincaré C Anal. Non Linéair, Indiana Univ. Math. J.等国际顶级数学期刊上发表文章近百篇。