Skip to main content
SpringerLink
Log in

The behaviour of solutions to elliptic Monge-Ampère equations at singular points

  • 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. Bers, L., Nirenberg, L.: On a Representation Theorem for Linear Elliptic Systems with Discontinuous Coefficients and its Application. In: Convegno internazionale sulle equazioni lineari alle derivate parziali, pp. 111–140, edited by Unione Matematica Italiana. Roma: Cremonese 1955

    Google Scholar 

  2. Beyerstedt, R.: Removable Singularities of Solutions to Elliptic Monge-Ampère Equations. Math. Z.208, 363–373 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  3. Gilbarg, D., Trudinger, N.S.: Elliptic Partial Differential Equations of Second Order. Berlin Heidelberg New York: Springer 1983

    MATH  Google Scholar 

  4. Giraud, G.: Équations de type elliptique. Ann. Sci. Éc. Norm. Supér.47, 197–266 (1930)

    MathSciNet  Google Scholar 

  5. Hopf, E.: Über den funktionalen, insbesondere den analytischen Charakter der Lösungen elliptischer Differentialgleichungen zweiter Ordnung. Math. Z.34, 194–233 (1932)

    Article  MathSciNet  Google Scholar 

  6. Jörgens, K.: Über die isolierten Singularitäten der Lösungen der Minimalflächengleichung und der Differentialgleichungrt−s 2=1. Diplomarbeit, Göttingen (1954)

  7. Jörgens, K.: Harmonische Abbildungen und die Differentialgleichungrt−s 2=1. Math. Ann.129, 330–344 (1955)

    Article  MATH  MathSciNet  Google Scholar 

  8. Morrey, C.B., Jr.: On the Solutions of Quasilinear Elliptic Partial Differential Equations. Trans. Am. Math. Soc.43, 126–166 (1938)

    Article  MATH  MathSciNet  Google Scholar 

  9. Nirenberg, L.: On Nonlinear Elliptic Partial Differential Equations and Hölder Continuity. Commun. Pure Appl. Math.VI, 103–156 (1953)

    MathSciNet  Google Scholar 

  10. Vekua, I.N.: Generalized Analytic Functions. Oxford London New York: Pergamon 1962

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Mathematik, RWTH Aachen, Templergraben 55, D-52062, Aachen, Germany

    Ralf Beyerstedt

Authors
  1. Ralf Beyerstedt
    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

Beyerstedt, R. The behaviour of solutions to elliptic Monge-Ampère equations at singular points. Math Z 216, 243–256 (1994). https://doi.org/10.1007/BF02572320

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02572320

Keywords

Search

Navigation