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The regularity of mappings with a convex potential
Author(s):
Luis A.
Caffarelli
Journal:
J. Amer. Math. Soc.
5
(1992),
99-104.
MSC:
Primary 35B65;
Secondary 35A30, 35J60
MathSciNet review:
1124980
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Additional information
References:
-
- [B]
- Yann Brenier, Décomposition polaire et réarrangement monotone des champs de vecteurs, C. R. Acad. Sci. Paris Sér. I. Math. 305 (1987), 805-808. MR 923203 (89b:58226)
- [C1]
- Luis A. Caffarelli, A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity, Ann. of Math. (2) 131 (1990), 129-134. MR 1038359 (91f:35058)
- [C2]
- -, Interior
 estimates for solutions of the Monge-Ampère equation, Ann. of Math. (2) 131 (1990), 135-150. MR 1038360 (91f:35059) - [C3]
- -, Some regularity properties of solutions to Monge Ampère equation, Comm. Pure Appl. Math. (to appear). MR 1127042 (92h:35088)
- [P]
- A. V. Pogorelov, Monge-Ampère equations of elliptic type, Noordhoff, Groningen, 1964. MR 0180763 (31:4993)
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Additional Information:
DOI:
10.1090/S0894-0347-1992-1124980-8
PII:
S0894-0347-1992-1124980-8
Copyright of article:
Copyright
1992,
American Mathematical Society
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