On the regularity of complex Hessian equation on m-hyperconvex domain

DOI10.1080/17476933.2018.1551888zbMath1421.32044OpenAlexW2905559683MaRDI QIDQ5228427

Manar Bouhssina

Publication date: 12 August 2019

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

Full work available at URL: https://doi.org/10.1080/17476933.2018.1551888

zbMATH Keywords

\(m\)-subharmonic functionscomplex Hessian equation\(m\)-hyperconvex domain

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05)

Related Items (3)

On the regularity of the complex Hessian equation ⋮ Hölder continuity for solutions of the complex Hessian type equation ⋮ Solvability of the Neumann problem for complex hessian equations in balls

Cites Work

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• The complex Monge-Ampère equation
• On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
• A priori estimates for complex Hessian equations
• Weak solutions to the complex Hessian equation.
• Modulus of continuity of solutions to complex Hessian equations
• Hölder regularity for solutions to complex Monge–Ampère equations
• Hölder continuous solutions to Monge-Ampère equations

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