Symmetry results of positive solutions of elliptic equations with mixed boundary conditions

报告题目： Symmetry results of positive solutions of elliptic equations with mixed boundary conditions

报 告 人：姚若飞 副教授 华南理工大学

邀请人：李善兵 副教授

报告时间：2021年10月01日（周五） 8：30-9：30

腾讯会议ID：654 552 178

报告人简介：姚若飞，华南理工大学副教授。姚若飞博士在西安交通大学获得博士学位，曾在中南大学从事博士后研究（导师是桂长峰教授）。目前主要研究方向是非线性偏微分方程，在CVPDE, Nonlinearity, DCDS等期刊发表SCI论文9篇。主持国家自然科学基金青年项目一项。

报告摘要： This talk is concerned about symmetry properties for positive elliptic solutions with mixed boundary conditions. Using the methods of moving planes and the bootstrapping methods, we obtain a priori information about the sign of some directional derivatives of solution u in some regions. Finally, we prove the symmetry and monotonicity properties. A version of the maximum principle for mixed boundary problem in a narrow domain is also established. This is a joint work with Hongbin Chen, Changfeng Gui and Rui Li.