讲座题目：Sharp weighted Sobolev inequality involving divergent operator with degeneracy and related sharp inequalities

讲座人：窦井波，陕西师范大学

讲座时间：2021年1月19日下午3：00---4：00

讲座地点：数学楼2-1会议室

讲座摘要：

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.

讲座人简介：

   窦井波，陕西师范大学数学与信息科学学院教授，博士生导师。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发表学术论文40余篇,在Advances in Mathematic，Journal of Functional Analysis，International Mathematics Research Notices等国际 SCI学术期刊上发表24篇；主持国家自然科学基金2项，获2019 年度陕西省杰出青年科学基金资助项目。