Skip to main content
SpringerLink
Log in

A method to exclude branch points of minimal surfaces

  • Published:
Calculus of Variations and Partial Differential Equations Aims and scope Submit manuscript

Abstract.

The central problem of this paper is to exclude boundary branch points of minimal surfaces. The method consists in showing that the third derivative of the Dirichlet energy is negative along well-chosen paths in admissible Jacobi field directions, if a “Schüffler condition” is satisfied.

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

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität Bonn, Beringstraße 1, D-53115 Bonn, Germany (e-mail: dw@rhein.iam.uni-bonn.de) , , , , , , DE

    Daniel Wienholtz

Authors
  1. Daniel Wienholtz
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received July 21, 1997 / Accepted October 3, 1997

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wienholtz, D. A method to exclude branch points of minimal surfaces. Calc Var 7, 219–247 (1998). https://doi.org/10.1007/s005260050107

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s005260050107

Search

Navigation