Abstract
<abstract><p>We present an integral approach to Pogorelov's Hessian estimates for the Monge-Ampère equation, originally obtained via a pointwise argument.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Mathematical Physics,Analysis
Reference3 articles.
1. L. A. Caffarelli, A priori estimates and the geometry of the Monge Ampère equation, In: Nonlinear partial differential equations in differential geometry, Providence, RI: Amer. Math. Soc., 1996, 5–63.
2. D. Gilbarg, N. S. Trudinger, Elliptic partial differential equations of second order, Berlin, Heidelberg: Springer, 2001. https://doi.org/10.1007/978-3-642-61798-0
3. A. V. Pogorelov, The Minkowski multidimensional problem, New York-Toronto-London: Halsted Press [John Wiley & Sons], 1978.
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2 articles.
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