Home   Overview   Faculty   Research   Undergraduate Programs   Graduate Programs   Position Available   Contact Us

Previous Next
 
Home >> Seminar

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

程涛 副教授(华东师范大学)
Tuesday, October 17th, 2017, 1:00 PM  闵行数学楼401室
 
青年学术论坛邀请报告

摘要: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.

邀请人: 杜荣
   
 
 
Links >>
 
Resources >>
 
 
  Other Links >>    Shanghai Mathematical Society    Chinese Mathematical Society    American Mathematical Society    The European Mathematical Society  
         
       Copyright 2012 All rights reserved    Department of Mathematics, East China Normal University    Tel: 86-21-54342609