Radial symmetric solution of complex Hessian equation in the unit ball

DOI10.1080/17476933.2012.662223zbMath1281.32029OpenAlexW2129613084MaRDI QIDQ2855440

Nguyen Quang Dieu, Nguyen Thac Dung

Publication date: 25 October 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2012.662223

zbMATH Keywords

complex Hessian equation\(k\)-subharmonic function

Mathematics Subject Classification ID

Plurisubharmonic functions and generalizations (32U05) Currents (32U40) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items

Complex Hessian equations with prescribed singularity on compact Kähler manifolds, The convexity of radially symmetric m-subharmonic functions, Hessian boundary measures

Cites Work

• Regularity of the complex Monge-Ampère equation for radially symmetric functions of the unit ball
• Sur l'existence et la régularité de solutions radiales pour des équations de type Monge-Ampère complexe. (Existence and regularity of radial solutions for complex equations of Monge-Ampère type)
• Hessian measures. I
• On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
• Hessian measures. II
• Weak solutions to the complex Hessian equation.
• The complex Hessian equation with infinite Dirichlet boundary value
• The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations