Skip to main content
SpringerLink
Log in

Heat flow for the equation of surfaces with prescribed mean curvature

  • Published:
Mathematische Annalen 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. Chang, K.C.: Heat flow and boundary value problems for harmonic maps. Ann. Inst. Henri Poincaré Anal.6, 363–395 (1989)

    Google Scholar 

  2. Gulliver, R.D., Osserman, R., Royden, H.L.: A theory of branched immersions of surfaces. Am. J. Math.95, 750–812 (1973)

    Google Scholar 

  3. Hamilton, R.: Harmonic maps of manifolds with boundary. (Lect. Notes Math. vol. 471) Berlin Heidelberg, New York: Springer 1975

    Google Scholar 

  4. Hein, E.: Ein Regularitätssatz für Flächen beschränkter mittlerer Krümmung. Nachr. Akad. Wiss. Gött. Math., II Phys. Kl. 107–118 (1969)

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

    Google Scholar 

  6. Hildebrandt, S.: On the Plateau problem for surfaces of constant mean curvature. Commun. Pure Applied Math.23, 97–114 (1970)

    Google Scholar 

  7. Horsin-Molinaro, Th.: Régularité à la frontière pour l'évolution des surfaces à courbure moyenne prescrite. C.R. Acad. Sci. Paris (to appear)

  8. Ladyszenskaya, O.A., Solonnikov, V.A., Ural'ceva, N.N.: Linear and quasilinear equations of parabolic type. A.M.S. Trans. Math. Monogr. 23, Providence, 1968

  9. Nikol'skii, S.M.: Approximation of functions of several variables and embedding theorems. (Grundl. Math. Wiss. vol. 205) Berlin Heidelberg New York: Springer 1975

    Google Scholar 

  10. Pacard, F.: Convergence of surfaces of prescribed mean curvature. J. Nonlin. Anal. TMA13, 1269–1281 (1989)

    Google Scholar 

  11. Struwe, M.: On the evolution of harmonic mappings. Comment. Math. Helv.60, 107–118 (1985)

    Google Scholar 

  12. Struwe, M.: Boundary regularity for the evolution of harmonic maps (to appear)

  13. Tomi, F.: Ein einfacher Beweis eines Regularitätssatzes für schwache Lösungen gewisser elliptischer Systeme. Math. Z.112, 214–218 (1969)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre de Mathématiques, Ecole Polytechnique, F-91128, Palaiseau Cedex, France

    Olivier Rey

Authors
  1. Olivier Rey
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rey, O. Heat flow for the equation of surfaces with prescribed mean curvature. Math. Ann. 291, 123–146 (1991). https://doi.org/10.1007/BF01445195

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01445195

Keywords

Search

Navigation