Entire solutions of the Monge-Ampère equation

Communications on Pure and Applied Mathematics

Volumn 49, Issue 5, 1996, Pages 529-539

  Chou, Kai Seng ^a   Wang, Xu Jia ^b  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^b ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030538278     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199605)49:5<529::AID-CPA2>3.3.CO;2-G     Document Type: Article

References (10)

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2. 2,p-estimates for solutions of the Monge-Ampère equation, Ann. Math. 131, 1990, pp. 135-150.
3. Caffarelli, L. A., Some regularity properties of solutions of Monge Ampère equation, Comm. Pure Appl. Math. 44, 1991, pp. 965-969.
4. Caffarelli, L. A., Nirenberg, L., and Spruck, J., The Dirichlet problem for nonlinear second-order elliptic equations I. Monge-Ampère equation, Comm. Pure Appl. Math. 37, 1984, pp. 369-402.
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6. n, Lecture Notes in Mathematics No. 481, Springer-Verlag, New York, 1976.
7. Pogorelov, A. V., The Minkowski Multidimensional Problem, Scripta Series in Mathematics, Wiley, New York, 1978.
8. Pogorelov, A. V., An analog of Minkowski's problem for infinite complete convex hypersurfaces, Soviet Math. Dokl. 21, 1980, pp. 138-140.
9. Spanier, E. H., Algebraic Topology, McGraw-Hill, New York, 1966.
10. Wang, X. J., Some counterexamples to the regularity of Monge-Ampère equations, Proc. Amer. Math. Soc. 123, 1995, pp. 841-845.