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On uniform estimate of complex elliptic equations on closed Hermitian manifolds

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arxiv 1412.5001 v2 pith:OQQX63FZ submitted 2014-12-16 math.AP math.CVmath.DG

Wei Sun This is my paper · ORCID
classification math.APmath.CVmath.DG
keywords equationsclosedmanifoldscomplexestimatehermitianhessianuniform
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In this paper, we study Hessian equations and complex quotient equations on closed Hermitian manifolds. We directly derive the uniform estimate for the admissible solution. As an application, we solve general Hessian equations on closed K\"ahler manifolds.

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  1. Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds

    math.AP 2025-01 conditional novelty 6.0 of 10

    For admissible, chi-semi-convex solutions of complex Hessian equations with gradient terms on compact Hermitian manifolds, the paper proves uniform second-order estimates.

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