澳门威斯人7026com

Quasi-extremal distance (QED) constants and boundary quasiconformal reflection constants

讲座标题:Quasi-extremal distance (QED) constants and boundary quasiconformal reflection constants

主讲人: 程涛 副教授

讲座时间:2017-10-24 (周二)上午10:00-11:00

讲座语言:中文,英文

主办单位:澳门威斯人7026com


讲座内容:

This talk is devoted to the study of some fundamental problems on modulus and extremal length of curve families, capacity, and n-harmonic functions in the Euclidean space R^n. One of the main goals is to establish the existence, uniqueness, and boundary behavior of the extremal function for the conformal capacity of a capacitor in R^n. This generalizes some well known results and has its own interests in geometric function theory and potential theory. It is also used as a major ingredient in this paper to establish a sharp upper bound for the quasi-extremal distance constant of a domain in terms of its local boundary quasiconformal reflection constant. Along the way, several interesting results are established for modulus and extremal length. One of them is a decomposition theorem for the extremal length of the curve family joining two disjoint continua in a domain.


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