课程题目：Sharp differential/integral inequalities and the extreme functions 
授课人：Prof. Meijun Zhu (University of Okhlahoma, USA)

课时安排： 8月1日-8月15日,每周一、三、五，2:30-5:00，共6次课
授课地点： 管理科研楼1218

课程摘要：

In this series lectures, we shall start from the classical Hardy inequality to derive the Hardy-Littlewood inequality, which leads to Hardy-Littlewood’s conjecture, and late it becomes the famous Bliss lemma. Using this lemma, Talenti and Aubin derived the sharp Sobolev inequality. We will also cover Lieb’s sharp Hardy-Littlewood-Sobolev inequality, which yields another proof of sharp Sobolev inequality for  without using Bliss lemma. I hope to cover Moser-Trudinger-Onofri inequality, as well as the classification of positive solutions to the differential/integral equations satisfied by the extreme functions to the mentioned sharp inequalities.

主办单位：中国科学技术大学数学科学学院
欢迎广大感兴趣的师生参加！