Energy Functionals and Complex Monge–Ampère Equations

DOI10.1017/S1474748009000206zbMath1192.35023OpenAlexW2023238719WikidataQ125314104 ScholiaQ125314104MaRDI QIDQ3569366

Zuoliang Hou, Qi Li

Publication date: 18 June 2010

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1474748009000206

zbMATH Keywords

inhomogeneous boundary conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Quasilinear parabolic equations (35K59)

Related Items

Degenerate complex Monge-Ampère flows on strictly pseudoconvex domains ⋮ The Cauchy-Dirichlet problem for parabolic deformed Hermitian-Yang-Mills equation ⋮ Moser-Trudinger inequality for the complex Monge-Ampère equation ⋮ Open problems in pluripotential theory

Cites Work

• Unnamed Item
• Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
• The Dirichlet problem for a complex Monge-Ampère equation
• The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function
• On the Dirichlet problem for Hessian equations
• A Poincaré type inequality for Hessian integrals
• The complex Monge-Ampère equation
• Ricci flow on Kähler-Einstein surfaces.
• On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
• Weak solutions to the complex Hessian equation.
• On a real Monge-Ampère functional
• Convergence of Kähler-Ricci flow
• The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I