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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
MathSciNet review: 1124980
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  • [C1] L. A. Caffarelli, A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity, Ann. of Math. (2) 131 (1990), no. 1, 129–134. MR 1038359, 10.2307/1971509
  • [C2] Luis A. Caffarelli, Interior 𝑊^{2,𝑝} estimates for solutions of the Monge-Ampère equation, Ann. of Math. (2) 131 (1990), no. 1, 135–150. MR 1038360, 10.2307/1971510
  • [C3] Luis A. Caffarelli, Some regularity properties of solutions of Monge Ampère equation, Comm. Pure Appl. Math. 44 (1991), no. 8-9, 965–969. MR 1127042, 10.1002/cpa.3160440809
  • [P] A. V. Pogorelov, Monge-Ampère equations of elliptic type, Translated from the first Russian edition by Leo F. Boron with the assistance of Albert L. Rabenstein and Richard C. Bollinger, P. Noordhoff, Ltd., Groningen, 1964. MR 0180763

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DOI: https://doi.org/10.1090/S0894-0347-1992-1124980-8
Article copyright: © Copyright 1992 American Mathematical Society