An extension of Jörgens–Calabi–Pogorelov theorem to parabolic Monge–Ampère equation

Author:

Zhang Wei,Bao Jiguang,Wang Bo

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference28 articles.

1. Caffarelli, L.: A localization property of viscosity solutions to the Monge–Ampère equation and their strict convexity. Ann. Math. 131, 129–134 (1990)

2. Caffarelli, L.: Topics in PDEs: The Monge-Ampère Equation. Graduate Course. Courant Institute, New York University, New York (1995)

3. Caffarelli, L., Li, Y.Y.: An extension to a theorem of Jorgens, Calabi, and Pogorelov. Commun. Pure Appl. Math. 56, 549–583 (2003)

4. Caffarelli, L., Li, Y.Y.: A Liouville theorem for solutions of the Monge–Ampère equation with periodic data. Ann. Inst. H. Poincaré, Anal. Non Linéaire 21, 97–100 (2004)

5. Calabi, E.: Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens. Mich. Math. J. 5, 105–126 (1958)

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