报告题目：Monotonicity of solutions for fractional equations with De Giorgi type nonlinearities

报 告 人：武乐云副研究员 上海交通大学

报告时间：2020年6月6日 16:00-17:00

报告地点：腾讯会议 ID：156 397 795

 密码:606606

或点击链接直接加入会议：

https://meeting.tencent.com/s/K3ohoxhXPDCt

校内联系人：郭斌  bguo@jlu.edu.cn

报告摘要：

In this talk, we introduce a sliding method for the fractional Laplacian. We first obtain the key ingredients needed in the sliding method either in a bounded domain or in the whole space, such as narrow region principles and maximum principles in unbounded domains. Then using semi-linear equations involving the fractional Laplacian in both bounded domains and in the whole space, we illustrate how this new sliding method can be employed to obtain monotonicity of solutions.

报告人简介：

武乐云，上海交通大学数学科学学院博士后。主要从事分数阶拉普拉斯的研究. 在Adv. Math, DCDS等在杂志上发表多篇高水平SCI论文.