报告题目: Almost sharp Sobolev trace inequalities in the unit ball under constraints

报告人：陈学长教授（南京大学）

报告时间：2022年5月6日，14：00～15：00 

报告地点：腾讯会议ID：805 270 898

报告摘要: We establish three new families of Sobolev trace inequalities in the unit ball with constraint of higher order moments of the boundary volume element. All involved Sobolev trace inequalities have been shown to be almost optimal through constructing precise test functions. Moreover, these optimal constants are closely related to cubature formulas and the Delsarte-Goethals-Seidel theory in 1977. These higher order moments Sobolev trace inequalities could be regarded as natural generalizations of Beckner and Lebedev-Milin inequalities to the Paneitz operator.  This is joint work with Wei Wei and Nan Wu.