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Stability and gradient estimates for fully nonlinear elliptic equations on hermitian manifolds

Guo, Bin et al.
arXiv (All) · Papers
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53c55analysis-of-pdesdifferential-geometry
The known proofs of the gradient estimate for complex Hessian equations rely on the second order estimate of Hou-Ma-Wu and on a Liouville theorem of Dinew-Kolodziej. In this paper, we give a direct proof of the gradient estimate for concave fully nonlinear elliptic equations on compact Hermitian man
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