A Monge-Ampere Type Fully Nonlinear Equation on Hermitian Manifolds
Bo Guan, Qun Li
TL;DR
This paper investigates a complex Monge-Ampere type nonlinear equation on Hermitian manifolds, providing key a priori estimates for solutions up to second derivatives using a subsolution approach.
Contribution
It introduces new a priori estimates for solutions of a Monge-Ampere type equation on Hermitian manifolds, advancing the understanding of such nonlinear PDEs.
Findings
Established second-order derivative estimates for solutions
Utilized subsolutions to obtain a priori bounds
Contributed to the theory of complex nonlinear PDEs on Hermitian manifolds
Abstract
We study a fully nonlinear equation of complex Monge-Ampere type on Hermitian manifolds. We establish the a priori estimates for solutions of the equation up to the second order derivatives with the help of a subsolution.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Nonlinear Waves and Solitons