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arXiv · 2404.12350

Fully non-linear elliptic equations on complex manifolds

Rirong Yuan
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Abstract

In this paper, we study a broad class of fully nonlinear elliptic equations on Hermitian manifolds. On one hand, under the optimal structural assumptions we derive $C^{2,\alpha}$-estimate for solutions of the equations on closed Hermitian manifolds. On the other hand, we treat the Dirichlet problem. In both cases, we prove the existence theorems with unbounded condition.

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Rirong Yuan. 2024-04-18. Fully non-linear elliptic equations on complex manifolds. https://arxiv.org/abs/2404.12350

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