Skip to main content
SpringerLink
Log in

A maximum principle for harmonic mappings which solve a Dirichlet problem

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

We show that if a solution of the Dirichlet problem for harmonic maps lies in a convex ball and its boundary values are contained in some smaller ball, then the whole solution itself is contained in this smaller ball.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. HAMILTON, R.: Harmonie Maps of Manifolds with Boundary. Springer Lecture Notes 471, Berlin-Heidelberg-New York 1975

  2. JÄGER, W. and KAUL, H.: Uniqueness and Stability of Harmonic Maps and their Jacobi Fields. Man. math.28, 269–291 (1979)

    Google Scholar 

  3. JOST, J.: Ein Existenzbeweis für harmonische Abbildungen, die ein Dirichletproblem lösen, mittels der Methode des Wärmeflusses. Man. math.34, 17–25 (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität Bonn, Beringstr. 4, 5300, Bonn 1

    Jürgen Jost

Authors
  1. Jürgen Jost
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jost, J. A maximum principle for harmonic mappings which solve a Dirichlet problem. Manuscripta Math 38, 129–130 (1982). https://doi.org/10.1007/BF01168390

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01168390

Keywords

Search

Navigation