A class of the non-degenerate complex quotient equations on compact Kähler manifolds
From MaRDI portal
Publication:2247227
DOI10.3934/cpaa.2021085zbMath1480.32004OpenAlexW3163155145MaRDI QIDQ2247227
Publication date: 17 November 2021
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2021085
A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Compact Kähler manifolds: generalizations, classification (32J27) Complex Monge-Ampère operators (32W20) Other partial differential equations of complex analysis in several variables (32W50)
Related Items (2)
A type of parabolic flow with mixed hessians on compact Kähler manifolds ⋮ Hessian equations of Krylov type on compact Hermitian manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- \(C^{2,\alpha}\) estimates for nonlinear elliptic equations in complex and almost complex geometry
- Estimates for the complex Monge-Ampère equation on Hermitian and balanced manifolds
- Regularity estimates of solutions to complex Monge-Ampère equations on Hermitian manifolds
- Fully non-linear elliptic equations on compact Hermitian manifolds
- Equations of Monge-Ampère type on compact Hermitian manifolds.
- Fully non-linear degenerate elliptic equations in complex geometry
- A class of curvature type equation
- A second order estimate for complex Hess equations on a compact Kähler manifold
- Curvature estimates for convex solutions of some fully nonlinear Hessian-type equations
- Hessian equations on closed Hermitian manifolds
- Weak solutions to the complex Hessian equation.
- On a class of fully nonlinear elliptic equations on closed Hermitian manifolds
- Complex Monge-Ampère equations and totally real submanifolds
- On a Class of Fully Nonlinear Elliptic Equations on Closed Hermitian Manifolds II:L∞Estimate
- Liouville and Calabi-Yau type theorems for complex Hessian equations
- On a class of fully nonlinear flows in Kähler geometry
- The complex Monge-Ampère equation on compact Hermitian manifolds
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- On some inequalities for elementary symmetric functions
- On the General Notion of Fully Nonlinear Second-Order Elliptic Equations
- On the convergence and singularities of the J‐Flow with applications to the Mabuchi energy
This page was built for publication: A class of the non-degenerate complex quotient equations on compact Kähler manifolds
