The Dirichlet problem for a disk on the sphere \(S^2\)
type: Item
instance of: scholarly article
title: The Dirichlet problem for a disk on the sphere \(S^2\)
zbMATH Open document ID: 0937.31002
author: Eleutherius Symeonidis
published in: Expositiones Mathematicae
publication date: 2000-05-04T00:00:00Z
review text: The author obtains the solution of the Dirichlet problem for circular disks on the two-dimensional Euclidean sphere by taking the average of certain weighted means of the boundary function over all chords through a given point. A similar problem was already solved in the case of the Euclidean and hyperbolic plane.
Mathematics Subject Classification ID: 31A10
Mathematics Subject Classification ID: 31A25
zbMATH DE Number: 1394886
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: Poisson kernel
zbMATH Keywords: Euclidean sphere
zbMATH Keywords: hyperbolic plane
reviewed by: Petru Caraman
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1394886