题目:Sharp Hardy-Littlewood-Sobolev inequalities and integral equations
报告人:窦井波 教授
(陕西师范大学数学与信息科学学院)
Abstract : In this talk, I present some sharp Hardy-Littlewood-Sobolev inequalities and sharp reversed Hardy-Littlewood-Sobolev inequalities on whole space and on the upper half space, respectively. Furthermore, I introduce some nonlinear integral equations on bounded domains related to the sharp (reversed) Hardy-Littlewood-Sobolev inequality. Existence results, as well as nonexistence results are obtained. These works joins with Meijun Zhu, Qianqiao Guo and Ye Li.
个人简介:窦井波,教授、博士生导师。博士毕业于西北工业大学应用数学系。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。近年来与多位学者合作发表学术论文40余篇,在Adv. Math.、J. Funct. Anal.、Inter.l Math. Res. 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, 2019年获陕西省杰出青年科学基金。
时间: 7月4日(周四)上午9:30--10:30地点:首都师范大学教二楼608教室
联系人:苏加宝
欢迎全体师生积极参加!