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On second derivative estimates for equations of Monge-Ampère type

Bulletin of the Australian Mathematical Society (1984) 30(3) 321-334
DOI: 10.1017/S0004972700002069
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Abstract

We derive interior second derivative estimates for solutions of equations of Monge-Ampère type which extend those of Pogorelov for the case of affine boundary values. A key ingredient in our method is the existence of a strong solution of the homogeneous Monge-Ampère equation. © 1984, Australian Mathematical Society. All rights reserved.

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Trudinger, N. S., & Urbas, J. I. e. (1984). On second derivative estimates for equations of Monge-Ampère type. Bulletin of the Australian Mathematical Society, 30(3), 321–334. https://doi.org/10.1017/S0004972700002069

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