A subsolution theorem for the Monge-Ampère equation over an almost Hermitian manifold
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Publication:2161533
DOI10.1007/s10473-022-0518-9OpenAlexW3173801812WikidataQ113904572 ScholiaQ113904572MaRDI QIDQ2161533
Publication date: 4 August 2022
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.00167
a priori estimatesubsolutioncomplex Monge-Ampère equationalmost Hermitian manifold\(J\)-plurisubharmonic
Maximum principles in context of PDEs (35B50) Pluriharmonic and plurisubharmonic functions (31C10) Almost complex manifolds (32Q60) Complex Monge-Ampère operators (32W20)
Cites Work
- \(C^{2,\alpha}\) estimates for nonlinear elliptic equations in complex and almost complex geometry
- On the Dirichlet problem for a class of singular complex Monge-Ampère equations
- Potential theory on almost complex manifolds
- A general Schwarz lemma for almost-Hermitian manifolds
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- The Dirichlet problem for a complex Monge-Ampère equation
- Variational properties of the complex Monge-Ampère equation. I: Dirichlet principle
- The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function
- On the Dirichlet problem for Hessian equations
- The space of Kähler metrics.
- Fully non-linear elliptic equations on compact Hermitian manifolds
- Dirichlet problem for Hermitian-Einstein equation over almost Hermitian manifold
- The extremal function associated to intrinsic norms.
- On the existence and regularity of the Dirichlet problem for complex Monge-Ampère equations on weakly pseudoconvex domains
- On the \(C^{2,\alpha}\)-regularity of the complex Monge-Ampère equation
- The Monge-Ampère equation for non-integrable almost complex structures
- Weak solutions of Monge-Ampère type equations in optimal transportation
- Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds
- The Dirichlet problem on almost Hermitian manifolds
- On the existence of solutions to a bi-planar Monge-Ampère equation
- Some interior regularity estimates for solutions of complex Monge-Ampère equations on a ball
- The Monge-Ampère equation on almost complex manifolds
- Twisted quiver bundles over almost complex manifolds
- Plurisubharmonic functions and positive currents of type (1,1) on an almost complex manifold
- Taming symplectic forms and the Calabi-Yau equation
- A C2-estimate for solutions of complex Monge-Ampère equations.
- The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
- Cauchy's Interlace Theorem for Eigenvalues of Hermitian Matrices
- A Mean Value Formula and a Liouville Theorem for the Complex Monge–Ampère Equation
- On the regularity of the complex Monge-Ampère equations
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