Second order estimates for complex Hessian equations on Hermitian manifolds

Weisong Dong; Chang Li

doi:10.3934/dcds.2020377

Article Contents

2021, Volume 41, Issue 6: 2619-2633. Doi: 10.3934/dcds.2020377

This issue Previous Article A quantum approach to Keller-Segel dynamics via a dissipative nonlinear Schrödinger equation Next Article Multiplicity of closed characteristics on

$ P $

-symmetric compact convex hypersurfaces in

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Second order estimates for complex Hessian equations on Hermitian manifolds

Weisong Dong^1, and
Chang Li^2, ,

1.
School of Mathematics, Tianjin University, Tianjin 300354, China
2.
Hua Loo-Keng Center for Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

^* Corresponding author: Chang Li
^* Corresponding author: Chang Li

Received: March 31, 2020

Revised: August 31, 2020

Early access: November 2020

Published: June 2021

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Abstract

We derive second order estimates for $ \chi $-plurisubharmonic solutions of complex Hessian equations with right hand side depending on the gradient on compact Hermitian manifolds.

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Mathematics Subject Classification: Primary: 35J15, 53C55; Secondary: 58J05, 35B45.

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