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arxiv: 1106.3356 · v2 · submitted 2011-06-16 · 🧮 math.CV · math.AP

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The Monge-Amp\`{e}re equation on almost complex manifolds

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classification 🧮 math.CV math.AP
keywords almostcomplexequationmanifoldsmonge-ampproblemdirichletdomains
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We study the Dirichlet problem for the Monge-Amp\`ere equation on almost complex manifolds. We obtain the existence of the unique smooth solution of this problem in strictly pseudoconvex domains.

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