Second order estimates for complex Hessian equations with gradient terms on both sides
From MaRDI portal
Publication:2214681
DOI10.1016/j.jde.2020.08.030zbMath1454.35078OpenAlexW3091493939MaRDI QIDQ2214681
Publication date: 10 December 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2020.08.030
Global differential geometry of Hermitian and Kählerian manifolds (53C55) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Elliptic equations on manifolds, general theory (58J05)
Cites Work
- A second order estimate for general complex Hessian equations
- Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifolds
- Differentiability properties of symmetric and isotropic functions
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- Convexity estimates for mean curvature flow and singularities of mean convex surfaces
- Gauduchon metrics with prescribed volume form
- The Fu-Yau equation on compact astheno-Kähler manifolds
- Fully non-linear elliptic equations on compact Hermitian manifolds
- Second order estimates for complex Hessian equations on Hermitian manifolds
- The complex Monge-Ampère equation with a gradient term
- Fu-Yau Hessian equations
- A second order estimate for complex Hess equations on a compact Kähler manifold
- Hermitian metrics, \((n-1,n-1)\) forms and Monge-Ampère equations
- A Monge-Ampère-type equation motivated by string theory
- Hessian equations on closed Hermitian manifolds
- The Fu-Yau equation with negative slope parameter
- The Fu-Yau equation in higher dimensions
- On estimates for the Fu-Yau generalization of a Strominger system
- The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation
- Liouville and Calabi-Yau type theorems for complex Hessian equations
- A Priori Estimates for Complex Monge-Ampere Equation on Hermitian Manifolds
- Some existence results for fully nonlinear elliptic equations of monge-ampère type
- On a Class of Fully Nonlinear Elliptic Equations Containing Gradient Terms on Compact Hermitian Manifolds
- The Calabi–Yau equation on 4-manifolds over 2-tori
- Global C2‐Estimates for Convex Solutions of Curvature Equations
- An interior estimate for convex solutions and a rigidity theorem
This page was built for publication: Second order estimates for complex Hessian equations with gradient terms on both sides
