Regularity of subelliptic Monge-Ampère equations in the plane

Guan, Pengfei; Sawyer, Eric

doi:10.1090/S0002-9947-09-04640-6

Regularity of subelliptic Monge-Ampère equations in the plane
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by Pengfei Guan and Eric Sawyer PDF

Trans. Amer. Math. Soc. 361 (2009), 4581-4591 Request permission

Abstract:

We establish a $C^\infty$ regularity result for $C^{1,1}$ solutions of degenerate Monge-Ampère equation in $\mathbb R^2$, under the assumption that the trace of the Hessian is bounded from below.

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