2013年几何学暑期学校短期课程【Meijun Zhu】

时间:2013-07-30


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:澳门新葡新京
欢迎广大感兴趣的师生参加!

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