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The regularity of mappings with a convex potential


Author: Luis A. Caffarelli
Journal: J. Amer. Math. Soc. 5 (1992), 99-104
MSC: Primary 35B65; Secondary 35A30, 35J60
DOI: https://doi.org/10.1090/S0894-0347-1992-1124980-8
MathSciNet review: 1124980
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References [Enhancements On Off] (What's this?)

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  • [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 $ {W^{2,p}}$ 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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DOI: https://doi.org/10.1090/S0894-0347-1992-1124980-8
Article copyright: © Copyright 1992 American Mathematical Society

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