Skip to main content
Log in

A uniqueness theorem for surfaces of least area with partially free boundaries on obstacles

  • 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.

Bibliography

  1. Courant, R., Dirichlet's principle, conformal mapping, and minimal surfaces. Interscience, New York, (1950).

    Google Scholar 

  2. Hildebrandt, S., Ein einfacher Beweis für die Regularität der Lösungen gewisser zweidimensionaler Variationsprobleme unter freien Randbedingungen. Math. Ann. 194 (1971), 316–331.

    Google Scholar 

  3. Hildebrandt, S., and J. C. C. Nitsche, Minimal surfaces with free boundaries. Acta Math. 143 (1979), 251–272.

    Google Scholar 

  4. Joachimsthal, F., Demonstrationes theorematum ad superficies curvas spectantium. Journ. r. angew. Math. 30 (1846), 347–350.

    Google Scholar 

  5. Nitsche, J. C. C., Minimal surfaces with partially free boundary. Least area property and Hölder continuity for boundaries satisfying a chord-arc condition. Arch. Rat. Mech. Anal. 39 (1970), 131–145.

    Google Scholar 

  6. Nitsche, J. C. C., Vorlesungen über Minimalflächen. Springer, Berlin-Heidelberg-New York, (1975).

    Google Scholar 

  7. Nitsche, J. C. C., The regularity of the trace of minimal surfaces. Annali Scuola Norm. Sup. Pisa (4) 3 (1976), 139–155.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hildebrandt, S., Nitsche, J.C.C. A uniqueness theorem for surfaces of least area with partially free boundaries on obstacles. Arch. Rational Mech. Anal. 79, 189–218 (1982). https://doi.org/10.1007/BF00251903

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00251903

Keywords

Navigation