20220729 姚若飞 Monotonicity of the second Neumann eigenfunction in symmetry domain

Title: Monotonicity of the second Neumann eigenfunction in symmetry domain.

报告时间：2022年7月29日（星期五）上午10:00-11:00

报告地点：湖南大学数学学院425报告厅

报告人：姚若飞

邀请人: 李沁峰

Abstract: The first Neumann eigenfunction is a constant, and the second Neumann eigenfunction changes signs and plays an important role. Recently, we concern about second evenly symmetry eigenfunction $u$ on some cerntain symmetry domain. Inspired by the work of Jersion-Nadirashvili, we show that $u$ is montone along the direction of symmetry axis, and $u$ is strictly increasing on the boundary from the minimum point to the maximum point.

报告人简介： 姚若飞，华南理工大学副教授，目前主要研究方向是非线性偏微分方程，在CVPDE、Nonlinearity、JDE、DCDS等期刊发表SCI论文多篇。