Mathematische Zeitschrift

, 210:23 | Cite as

On the Dirichlet problem for the degenerate real Monge Ampère equation

  • Bert G. Wachsmuth
Article
Received:
Accepted:
  • 40 Downloads

Keywords

Line Segment Homogeneous Polynomial Implicit Function Theorem Series Representation Real Analyticity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

References

  1. [A] Alexandrov, A.D.: Die innere Geometrie der konverxen Flaechen. Berlin: Akademie Verlag 1955Google Scholar
  2. [C] Chirka, E.M.: Complex Analytic Sets. Dordrecht: Kluwer Academic Publishers 1989MATHGoogle Scholar
  3. [C-L-N] Chern, S.S., Levine, H.I., Nirenberg, L.: Intrinsic Norms on a Complex Manifold, Global Analysis, pp. 119–139. (Paper in honor of K. Kodaira). Tokyo: Univ. Tokyo Press 1969Google Scholar
  4. [C-N-S] Caffarelli, L., Nirenberg, L., Spruck, J.: The Dirichlet Problem for the Degenerate Monge-Ampère Equation. Rev. Mat. Iberoam.2 (1986)Google Scholar
  5. [R-T] Rauch, J., Taylor, B.A.: The Dirichlet Problem for the Multidimensional Monge-Ampère Equation. Rocky M.J. Math.7, 345–364 (1977)MATHMathSciNetCrossRefGoogle Scholar
  6. [T-U] Trudinger, N.S., Urbas, J.I.E.: On Second Derivative Estimates for Equations of Monge-Ampère Type. Bull. Austral. Math. Soc.30, 321–334 (1984)MATHMathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Bert G. Wachsmuth
    • 1
  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA

Personalised recommendations