Existence and nonexistence of subsolutions for augmented Hessian equations

DOI10.3934/dcds.2020023zbMath1433.35087OpenAlexW2980571222MaRDI QIDQ2281585

Limei Dai

Publication date: 3 January 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020023

zbMATH Keywords

subsolutionsKeller-Osserman conditionaugmented Hessian equations

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60)

Related Items (15)

Entire positive \(k\)-convex solutions to \(k\)-Hessian type equations and systems ⋮ Positive radial solutions of \(p\)-Laplace equations on exterior domains ⋮ Existence of entire radial solutions to Hessian type system ⋮ Existence and nonexistence of entire \(k\)-convex radial solutions to Hessian type system ⋮ Existence and uniqueness of nontrivial radial solutions for \(k\)-Hessian equations ⋮ The radial solution for an eigenvalue problem of singular augmented Hessian equation ⋮ Analysis of nontrivial radial solutions for singular superlinear \(k\)-Hessian equations ⋮ Existence of entire large convex radially solutions to a class of Hessian type equations with weights ⋮ Necessary and sufficient conditions for the existence of entire subsolutions to \(p\)-\(k\)-Hessian equations ⋮ The multiplicity of radial \(k\)-convex solutions for an augmented Hessian equation ⋮ Existence of \(k\)-convex solutions for the \(k\)-Hessian equation ⋮ Existence results for the \(k\)-Hessian type system with the gradients via \(\mathbb{R}_+^n\)-monotone matrices ⋮ Existence of positive solutions for a singular Hessian equation with a negative augmented term ⋮ Entire subsolutions of a kind of \(k\)-Hessian type equations with gradient terms ⋮ Necessary and sufficient conditions of entire subsolutions to Monge-Ampère type equations

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