The Monge-Ampère equation on almost complex manifolds

Abstract

We study the Dirichlet problem for the Monge-Ampère equation on almost complex manifolds. We obtain the existence of the unique smooth solution of this problem in strictly pseudoconvex domains.

Revised version + section about maximal functions

Cited by in corpus (2)

• $C^{2,\alpha }$ estimates for nonlinear elliptic equations in complex and almost complex geometry
• Monge-Ampère operator on four dimensional almost complex manifolds