数学科学凯发K8学术报告
--- 分析与偏微分方程讨论班(2022春季第14讲)
题目: Some weighted Hardy-Littlewood-Sobolev inequalities on the upper half space and related inequalities
报告人: 窦井波 教授 （陕西师范大学）
时间：2022-06-06 10👨🏽🎨：30-11☞🙅🏿：30 (周一上午)
地点: 腾讯会议 ID👵🏻：708-588-037
腾讯会议链接🧝🏼：https://meeting.tencent.com/dm/Y2h9m4xtqNqp
摘要: In this talk, we establish some weighted Hardy-Littlewood-Sobolev inequalities with partial variable on the upper half space using a weighted Hardy type inequality. The extremal functions can be attained by the concentration compactness principle, and classify all extremal functions for certain range of the exponent via the method of moving spheres. As applications, we show some weighted Sobolev inequality involving fractional Laplacian.
报告人简介: 窦井波，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🐶。现为在陕西师范大学数学与统计凯发K8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项目🚜。
邀请人📖：戴蔚
欢迎大家参加🌩！
