On the exterior problem for parabolic k-Hessian equations

DOI10.3934/CPAA.2022106zbMath1498.35328OpenAlexW4285161017MaRDI QIDQ2079202

Ziwei Zhou, Ji Guang Bao

Publication date: 29 September 2022

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

Full work available at URL: https://doi.org/10.3934/cpaa.2022106

zbMATH Keywords

existenceexterior problemancient solutionparabolic \(k\)-Hessian equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

Parabolic Hessian equations outside a bowl-shaped domain

Cites Work

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• Exterior problems of parabolic Monge-Ampère equations for \(n=2\)
• On Jörgens, Calabi, and Pogorelov type theorem and isolated singularities of parabolic Monge-Ampère equations
• The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
• A Bernstein type theorem for parabolic \(k\)-Hessian equations
• Exterior problems for more general parabolic Monge-Ampère equation in more general domain
• Exterior problems for a parabolic Monge-Ampère equation
• On the exterior Dirichlet problem for Hessian equations
• The Exterior Problem of Parabolic Hessian Equations
• User’s guide to viscosity solutions of second order partial differential equations
• A generalization of a theorem by Calabi to the parabolic Monge-Ampere equation
• Liouville property and regularity of a Hessian quotient equation

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