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math.AP2026
Stability and gradient estimates for fully nonlinear elliptic equations on hermitian manifolds
Bin Guo, Jian Song
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,…
math.AP2024
Sup-slopes and sub-solutions for fully nonlinear elliptic equations
Bin Guo, Jian Song
We establish a necessary and sufficient condition for solving a general class of fully nonlinear elliptic equations on closed Riemannian or hermitian manifolds, including both hess…