学术报告题目: The general dual Orlicz-Minkowski problems
报告人: Deping Ye，Memorial University, Canada
时间:12月25日15：00－16:00
地点:数学院207
Abstract: In their seminal paper (Acta Mathematica, 2016), Huang, Lutwak, Yang and Zhang established a variational formula for the $q$th dual volume which leads to the $q$th dual curvature measure. This variational formula makes it possible to prove the existence of solutions to the dual Minkowski problem aiming to characterize the $q$th dual curvature measure.
Recently, the dual Minkowski problem was extended to the general dual Orlicz-Minkowski problem involving two Orlicz functions by Gardner, Hug, Weil, Xing and myself. The Minkowski type problems proposed by us are arguably the most generalized and contain all previously well-studied Minkowski type problems, such as, the $L_p$ Minkowski problem, the dual Minkowski problem, the $L_p$ dual Minkowski problem, the $L_p$ Aleksandrov problem, as their special cases.
In this talk, I will explain how the general dual Orlicz-Minkowski problems are introduced and will discuss their solutions under certain cases.
