Interior estimates of derivatives and a Liouville type theorem for parabolic \(k \)-Hessian equations

DOI10.3934/cpaa.2023073zbMath1521.35063arXiv2209.10776OpenAlexW4379229838MaRDI QIDQ6176249

Zhongwei Tang, Cong Wang, Ji Guang Bao, Jiechen Qiang

Publication date: 22 August 2023

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.10776

zbMATH Keywords

gradient estimatesLiouville-type theoremPogorelov estimatesparabolic \(k \)-Hessian equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45) Entire solutions to PDEs (35B08) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

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• On some inequalities for elementary symmetric functions
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• A variational theory of the Hessian equation
• A Pogorelov estimate and a Liouville-type theorem to parabolic k-Hessian equations
• An interior estimate for convex solutions and a rigidity theorem
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