A Pogorelov estimate and a Liouville-type theorem to parabolic k-Hessian equations
From MaRDI portal
Publication:5073728
DOI10.1142/S0219199721500012zbMath1487.35140arXiv1907.07006OpenAlexW3134740147MaRDI QIDQ5073728
Ni Xiang, Jiannan Zhang, Haoyang Sheng, Yan He
Publication date: 3 May 2022
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.07006
Liouville-type theoremparabolic \(k\)-Hessian equation\(k\)-convex-monotone solutionPogorelov estimate
Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Related Items (1)
Cites Work
- Unnamed Item
- On Jörgens, Calabi, and Pogorelov type theorem and isolated singularities of parabolic Monge-Ampère equations
- A Liouville problem for the sigma-2 equation
- Differentiability properties of symmetric and isotropic functions
- An extension of Jörgens-Calabi-Pogorelov theorem to parabolic Monge-Ampère equation
- Hessian estimates for convex solutions to quadratic Hessian equation
- A Bernstein type theorem for parabolic \(k\)-Hessian equations
- Rigidity theorems for the entire solutions of 2-Hessian equation
- Interior \(C^2\) regularity of convex solutions to prescribing scalar curvature equations
- Asymptotic behavior on a kind of parabolic Monge-Ampère equation
- Hessian estimates for the sigma‐2 equationin dimension 3
- A generalization of a theorem by Calabi to the parabolic Monge-Ampere equation
- An extension to a theorem of Jörgens, Calabi, and Pogorelov
- Liouville property and regularity of a Hessian quotient equation
- A variational theory of the Hessian equation
- Global C2‐Estimates for Convex Solutions of Curvature Equations
- An interior estimate for convex solutions and a rigidity theorem
This page was built for publication: A Pogorelov estimate and a Liouville-type theorem to parabolic k-Hessian equations
