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arXiv · 2211.13798

On uniform estimates for $(n-1)-$form fully nonlinear partial differential equations on compact Hermitian manifolds

Nikita Klemyatin·Shuang Liang·Chuwen Wang
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Abstract

We obtain a priori $L^\infty$ estimate for a general class of $(n-1)-$form fully nonlinear partial differential equations on compact Hermitian manifolds. Our method relies on the local version of comparison with auxiliary Monge-Amp\`ere equations, developed earlier by B. Guo and D. H. Phong. The key is to find the appropriate elliptic operator such that the maximum principle applies.

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Nikita Klemyatin, Shuang Liang, Chuwen Wang. 2022-11-24. On uniform estimates for $(n-1)-$form fully nonlinear partial differential equations on compact Hermitian manifolds. https://arxiv.org/abs/2211.13798

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