Extremal decomposition problems in the Euclidean space

2015/11/05 by Karina Gulyaeva, Gulyaeva, Karina, Sergei Kalmykov +3
Mathematics · #31B99 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:31B99

paper · pdf · doi:10.48550/arxiv.1511.01662

10 pages

arxiv created 2015/11/05 · arxiv updated 2015/11/06

Abstract

Composition principles for reduced moduli are extended to the case of domains in the n-dimensional Euclidean space, n>2. As a consequence analogues of extremal decomposition theorems of Kufarev, Dubinin and Kirillova in the planer case are obtained.

Related

• Problems on extremal decomposition of the complex plane
• Extremal decomposition problems for p-harmonic radius
• Extremal functions on moduli spaces and applications
• An extremal decomposition problem for harmonic measure
• On the duality of moduli in arbitrary codimension