THE GROWTH OF SOLUTIONS OF MONGE–AMPÈRE EQUATIONS IN HALF SPACES AND ITS APPLICATION

DOI10.1017/s000497272300028xMaRDI QIDQ6151369

Shanshan Ma, Xiaobiao Jia

Publication date: 12 February 2024

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

growthasymptotic behaviourMonge-Ampère equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Monge-Ampère equations (35J96)

Cites Work

• The Monge-Ampère equation and its applications
• Elliptic partial differential equations of second order
• Asymptotic behavior at infinity of solutions of Monge-Ampère equations in half spaces
• Ancient solutions of exterior problem of parabolic Monge-Ampère equations
• A localization theorem and boundary regularity for a class of degenerate Monge-Ampere equations
• An extension to a theorem of Jörgens, Calabi, and Pogorelov
• Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation
• The Monge-Amp\`{e}re Equation
• Extension of Convex Function
• Partial Regularity for Singular Solutions to the Monge‐Ampère Equation
• The Monge-Ampère equation

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