The Dirichlet problem for Monge-Ampère type equations on Hermitian manifolds
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Publication:6077269
DOI10.3934/DCDS.2023072zbMath1527.32036arXiv2210.04519OpenAlexW4383164245MaRDI QIDQ6077269
Publication date: 17 October 2023
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.04519
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Complex Monge-Ampère operators (32W20)
Cites Work
- Unnamed Item
- Form-type equations on Kähler manifolds of nonnegative orthogonal bisectional curvature
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function
- Gauduchon metrics with prescribed volume form
- Differential tests for plurisubharmonic functions and Koch curves
- Fully non-linear elliptic equations on compact Hermitian manifolds
- On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
- The Dirichlet problem for the Monge-Ampère equations in Hermitian metric
- The Monge-Ampère equation for non-integrable almost complex structures
- Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds
- A second order estimate for complex Hess equations on a compact Kähler manifold
- Hessian equations on closed Hermitian manifolds
- Complex Monge-Ampère equations and totally real submanifolds
- The Monge-Ampère equation for (𝑛-1)-plurisubharmonic functions on a compact Kähler manifold
- Liouville and Calabi-Yau type theorems for complex Hessian equations
- A Priori Estimates for Complex Monge-Ampere Equation on Hermitian Manifolds
- The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
- On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
- Some Remarks on Singular Solutions of Nonlinear Elliptic Equations III: Viscosity Solutions Including Parabolic Operators
- The Calabi–Yau equation on 4-manifolds over 2-tori
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