Skip to main content
Log in

Remarks relevant to minimal surfaces, and to surfaces of prescribed mean curvature

  • Published:
Journal d'Analyse Mathématique Aims and scope

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., and D. Hilbert, Methods of Mathematical Physics, Vol. II, Interscience Publishers, New York, 1962.

    MATH  Google Scholar 

  2. Bers, L., Isolated Singularities of Minimal Surfaces, Ann. of Math.,531951), pp 364–386; see also Singularities of Minimal Surfaces,Proc. Int. Cong. Math., 1950,2 (1952), pp. 157–164.

    Article  MathSciNet  MATH  Google Scholar 

  3. Bers, L.,Function-theoretical Properties of Solutions of Partial Differential Equations of Elliptic Type,Annals of Mathematics Study, No. 33, 1954.

  4. Finn, R., Isolated Singularities of Solutions of Non-linear Partial Differential Equations,Trans. Amer. Math. Soc.,751953), pp. 385–404.

    MathSciNet  MATH  Google Scholar 

  5. Finn, R., On partial Differential Equations (whose solutions admit no isolated singularities),Scripta Mathematica, Vol. XXVI, No. 2, 1961.

  6. Nitsche, Johannes, Zu einem Satze von L. Bers über die Lösungen der MinimalflÄchengleichnug,Archiv der Math., IX, 1958, pp. 427–429.

    Article  MathSciNet  MATH  Google Scholar 

  7. Finn, R., New Estimates for Equations of Minimal Surface Type,Arch. Rat. Mech. Anal,141963), pp. 337–375.

    Article  MathSciNet  MATH  Google Scholar 

  8. Radó, T., On the Problem of Plateau, Chelsea Reprints, New York, 1951.

  9. Finn, R., On Equations of Minimal Surface Type,Annals of Math.,601954), pp. 397–416.

    Article  MathSciNet  MATH  Google Scholar 

  10. Finn, R., Growth Properties of Solutions of Non-linear Elliptic Equations,Comm. Pure Appl. Math.,91956), pp. 415–423.

    Article  MathSciNet  MATH  Google Scholar 

  11. Jenkins, H. B., Super-Solutions for Quasi-Linear Elliptic Equations,Arch. Rat. Mech. Anal. 161964), 402–410.

    Article  MathSciNet  MATH  Google Scholar 

  12. Heinz, E., über FlÄchen mit eineindeutiger Projektion auf eine Ebene, deren Krümmungen durch Ungleichungen eingeschrÄnkt sind,Math. Ann., 129 (1955), pp. 451–454.

    Article  MathSciNet  MATH  Google Scholar 

  13. Bernstein, S. N., Sur les surfaces définies au moyen de leur courbure moyenne ou totale,Ann. Ec. Norm. Sup. 271909), pp. 233–256.

    Google Scholar 

  14. Jenkins, H. and J. Serrin, Variational Problems of Minimal Surface Type,Arch. Rat. Mech. Anal.,121963), pp. 185–212.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Finn, R. Remarks relevant to minimal surfaces, and to surfaces of prescribed mean curvature. J. Anal. Math. 14, 139–160 (1965). https://doi.org/10.1007/BF02806384

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02806384

Keywords

Navigation