Skip to main content
Log in

On surfaces of constant mean curvature with polygonal boundaries

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. Courant, R., Dirichlet's Principle. New York: Interscience 1950.

    Google Scholar 

  2. Heinz, E., Über die Existenz einer Fläche konstanter mittlerer Krümmung bei vorgegebener Berandung. Math. Ann. 127, 258–287 (1954).

    Google Scholar 

  3. Heinz, E., An inequality of isoperimetric type for surfaces of constant mean curvature. Arch. Rational Mech. Anal. 33, 155–168 (1969).

    Google Scholar 

  4. Heinz, E., Ein Regularitätssatz für Flächen beschränkter mittlerer Krümmung. Nachr. Akad. Wiss. Göttingen, Math.-Phys. Kl., Jahrgang 1969, 107–118.

  5. Hildebrandt, S., Über Flächen konstanter mittlerer Krümmung. Math. Zeitschr. 112, 107–144 (1969).

    Google Scholar 

  6. Hildebrandt, S., On the Plateau problem for surfaces of constant mean curvature. Comm. Pure and Appl. Math., to appear.

  7. Hildebrandt, S., Randwertprobleme für Flächen mit vorgeschriebener mittlerer Krümmung und Anwendungen auf die Kapillaritätstheorie. Math. Zeitschr. 112, 205–213 (1969).

    Google Scholar 

  8. Jäger, W., Remarks on results of E. Heinz concerning the continuity of total variations. Arch. Rational Mech. Anal., to appear.

  9. Werner, H., Das Problem von Douglas für Flächen konstanter mittlerer Krümmung. Math. Ann. 133, 303–319 (1957).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by J. C. C. Nitsche

Rights and permissions

Reprints and permissions

About this article

Cite this article

Heinz, E. On surfaces of constant mean curvature with polygonal boundaries. Arch. Rational Mech. Anal. 36, 335–347 (1970). https://doi.org/10.1007/BF00282270

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00282270

Keywords

Navigation