Skip to main content
Log in

On boundary branch points of minimizing surfaces

  • 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. Alt, H. W., Verzweigungspunkte von H-Flächen. I: Math. Z. 127, 333–362 (1972). II: (to appear).

    Google Scholar 

  2. gemGulliver, R., Regularity of minimizing surfaces of prescribed mean curvature. Ann. of Math. (to appear).

  3. gemGulliver, R., R. gemOsserman, & H. gemRoyden, A theory of branched immersions of surfaces, (to appear).

  4. Gulliver, R., & J. Spruck, Existence theorems for parametric surfaces of prescribed mean curvature. Ind. Univ. Math. J. 22, 445–472 (1972).

    Google Scholar 

  5. Heinz, E., Über das Randverhalten elliptischer Systeme mit isothermen Parametern. Math. Z. 113, 99–105 (1970).

    Google Scholar 

  6. Heinz, E., & S. Hildebrandt, Some remarks on minimal surfaces in Riemannian manifolds. Comm. Pure Appl. Math. 22, 371–377 (1970).

    Google Scholar 

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

    Google Scholar 

  8. Lewy, H., On the boundary behavior of minimal surfaces. Proc. Nat. Acad. Sci., U.S.A. 37, 103–110 (1951).

    Google Scholar 

  9. Morrey, C. B., The problem of Plateau on a Riemannian manifold. Ann. of Math. 49, 807–851 (1948).

    Google Scholar 

  10. Nitsche, J. C. C., The boundary behavior of minimal surf aces—Kellogg's theorem and branch points on the boundary. Inventiones Math. 8, 313–333 (1969).

    Google Scholar 

  11. Osserman, R., A proof of the regularity everywhere of the classical solution of Plateau's problem. Ann. of Math. 91, 550–569 (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Johannes C. C. Nitsche

Research of Robert Gulliver supported in part by National Science Foundation Grant NSF GP-16651.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gulliver, R., Lesley, F.D. On boundary branch points of minimizing surfaces. Arch. Rational Mech. Anal. 52, 20–25 (1973). https://doi.org/10.1007/BF00249089

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00249089

Keywords

Navigation