学术报告

A planar Minkowski problem for the functional capacity -肖杰教授, Memorial University of Newfoundland

 

 

 

 

题目:A planar Minkowski problem for the functional capacity .

报告人:肖杰教授, Memorial University of Newfoundland

摘要:For p ∈ (1,2] and a bounded, convex, nonempty, open set  let be the p-capacitary curvature measure (generated by the closure of ?) on the unit circle . This talk shows that such a planar Minkowski problem of prescribing μp: Given a finite, nonnegative, Borel measure μ on , find a bounded, convex, nonempty, open set   such that  is solvable if and only if μ has centroid at the origin and its support supp(μ) does not comprise any pair of antipodal points. And, the solution is unique up to translation. Moreover, if  with and d? being the standard arc-length element on , then  is of .

时间:6月25日(周二)下午4:00--5:00

地点:首都师大新教2楼 808  教室

联系人:戎小春

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