报告专家：窦井波教授（陕西师范大学）

报告题目：Sharp weighted Sobolev inequality involving divergent operator with degeneracy and related sharp inequalities

报告地点：J9-425

报告时间：2021年7月2日 15：00-16：00

报告简介：

In this talk we present the classification of all positive extremal functions to a sharp weighted Sobolev inequality on the upper half space, which involves divergent operators with degeneracy on the boundary. We show that such a weighted Sobolev inequality can be used to derive a sharp Sobolev type inequality involving Baouendi-Grushin operator, and deduce others weighted inequalities. This work joins with Liming Sun, Lei Wang and Meijun Zhu.

专家个人简介：

窦井波，陕西师范大学数学与统计学院教授，博士生导师。毕业于西北工业大学应用数学系获博士学位。2017年7月被聘为陕西师范大学“曲江学者”特聘教授。研究方向是偏微分方程理论及其应用。近年来与多位合作者共同在Advances in Mathematic，Journal of Functional Analysis，International Mathematics Research Notices等国际学术期刊上发表学术论文40余篇,；主持国家自然科学基金3项，获2019 年度陕西省杰出青年科学基金资助项目。