A Liouville theorem of the 2-Hessian equation in half-space

DOI10.1016/j.jmaa.2023.127563zbMath1522.35294OpenAlexW4383500854WikidataQ122999865 ScholiaQ122999865MaRDI QIDQ6136380

Ziwei Zhou

Publication date: 29 August 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127563

zbMATH Keywords

Liouville theorema priori estimate2-Hessian equation in half-space

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Monge-Ampère equations (35J96) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

• Unnamed Item
• A Liouville problem for the sigma-2 equation
• Asymptotic behavior at infinity of solutions of Monge-Ampère equations in half spaces
• A Liouville theorem of parabolic Monge-Ampère equations in half-space
• Rigidity theorems for the entire solutions of 2-Hessian equation
• A localization theorem and boundary regularity for a class of degenerate Monge-Ampere equations
• On the improper convex affine hyperspheres
• Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
• Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
• Nonpolynomial entire solutions to σ_kequations
• Geometric properties of the sections of solutions to the Monge-Ampère equation
• Liouville property and regularity of a Hessian quotient equation
• Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation
• Global C²‐Estimates for Convex Solutions of Curvature Equations
• The Monge-Ampère equation
• An interior estimate for convex solutions and a rigidity theorem