Skip to main content
SpringerLink
Log in

C 2-Regularity for partially free minimal surfaces

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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

References

  1. Agmon, S., Douglis, A., Nirenberg, L.: Estimates near the boundary for solutions of elliptic differential equations satisfying general boundary conditions I. Comm. Pure Appl. Math.12, 623–727 (1959)

    Google Scholar 

  2. Courant, R.: Dirichlet's principle, conformal mapping, and minimal surfaces. Berlin-Heidelberg-New York: Springer 1977 (Reprint)

    Google Scholar 

  3. Dziuk, G.: Das Verhalten von Flächen beschränkter mittlerer Krümmung anC 1-Randkurven. Nachr. Akad. Wiss. Göttingen, II. Math.-Phys. Kl. 1979, 21–28

  4. Dziuk, G.: Über die Stetigkeit teilweise freier Minimalflächen. Manuscripta Math.36, 241–251 (1981)

    Google Scholar 

  5. Gilbarg, D., Trudinger, N.S.: Elliptic partial differential equations of second order. Grundlehren der mathematischen Wissenschaften 224, Berlin-Heidelberg-New York: Springer 1977

    Google Scholar 

  6. Goldhorn, K.H., Hildebrandt, S.: Zum Randverhalten der Lösungen gewisser zweidimensionaler Variationsprobleme mit freien Randbedingungen. Math. Z.118, 241–253 (1970)

    Google Scholar 

  7. Grüter, M.: Regularity of weakH-surfaces. J. Reine Angew. Math.329, 1–15 (1981)

    Google Scholar 

  8. Grüter, M., Hildebrandt, S., Nitsche, J.C.C.: On the boundary behavior of minimal surfaces with a free boundary which are not minima of the area. Manuscripta Math.35, 387–410 (1981)

    Google Scholar 

  9. Heinz, E.: Ein Regularitätssatz für schwache Lösungen nichtlinearer elliptischer Systeme. Nachr. Akad. Wiss. Göttingen, II. Math.-Phys. Kl. 1975, 1–13

  10. Jäger, W.: Behavior of minimal surfaces with free boundaries. Comm. Pure Appl. Math.23, 803–818 (1970)

    Google Scholar 

  11. Ladyzhenskaya, O.A.; Ural'tseva, N.N.: Linear and quasilinear elliptic equations. New York-London: Academic Press 1968

    Google Scholar 

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

    Google Scholar 

  13. Nitsche, J.C.C.: Vorlesungen über Minimalflächen. Grundlehren der mathematischen Wissenschaften 199, Berlin-Heidelberg-New York: Springer 1975

    Google Scholar 

  14. Nitsche, J.C.C.: The regularity of the trace for minimal surfaces. Ann. Scuola Norm. Sup Pisa, Ser. IV,3, 139–155 (1976)

    Google Scholar 

  15. Vekua, I.N.: Verallgemeinerte analytische Funktionen. Berlin: Akademie-Verlag 1963

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Mathematik, Rheinisch-Westfälische Technische Hochschule, Templergraben 55, D-5100, Aachen, Federal Republic of Germany

    Gerhard Dziuk

Authors
  1. Gerhard Dziuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Die Arbeit ist Teil der Habilitationsschrift des Autors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dziuk, G. C 2-Regularity for partially free minimal surfaces. Math Z 189, 71–79 (1985). https://doi.org/10.1007/BF01246945

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01246945

Keywords

Search

Navigation