most citedSecond order estimates for fully nonlinear elliptic equations with gradient terms on Hermitian manifolds

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math.AP2024

Fully nonlinear parabolic equations of real forms on Hermitian manifolds

Mathew George, Bo Guan

Over many decades fully nonlinear PDEs, and the complex Monge-Ampère equation in particular played a central role in the study of complex manifolds. Most previous works focused on…

math.AP2021★ 1 cited

Second order estimates for fully nonlinear elliptic equations with gradient terms on Hermitian manifolds

Bo Guan, Xiaolan Nie

We derive a priori second order estimates for fully nonlinear elliptic equations which depend on the gradients of solutions in critical ways on Hermitian manifolds. The global esti…