Existence of entire radial large solutions for a class of Monge-Ampère type equations and systems

DOI10.1216/rmj.2020.50.1893zbMath1454.35145OpenAlexW3095880942MaRDI QIDQ2211965

Hanxue Liu, Zhijun Zhang

Publication date: 17 November 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1604545242

zbMATH Keywords

singular Monge-Ampère equationentire radial large solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Entire solutions to PDEs (35B08) Monge-Ampère equations (35J96)

Related Items (7)

Entire positive \(k\)-convex solutions to \(k\)-Hessian type equations and systems ⋮ A remark on the existence of positive radial solutions to a Hessian system ⋮ Existence of entire large convex radially solutions to a class of Hessian type equations with weights ⋮ \(k\)-convex solutions for multiparameter Dirichlet systems with \(k\)-Hessian operator and Lane-Emden type nonlinearities ⋮ Entire large solutions to the \(k\)-Hessian equations with weights: existence, uniqueness and asymptotic behavior ⋮ Classification and existence of positive entire \(k\)-convex radial solutions for generalized nonlinear \(k\)-Hessian system ⋮ A remark on the existence of entire large positive radial solutions to nonlinear differential equations and systems

Cites Work

• Unnamed Item
• Blow-up solutions for a general class of the second-order differential equations on the half line
• Existence theorems for elliptic Monge-Ampère equations in the plane
• Nonexistence of positive solutions for some fully nonlinear elliptic equations
• Existence of entire positive \(k\)-convex radial solutions to Hessian equations and systems with weights
• Radially symmetric boundary value problems for real and complex elliptic Monge-Ampère equations
• A necessary and a sufficient condition for the existence of the positive radial solutions to Hessian equations and systems with weights
• Necessary and sufficient conditions on solvability for Hessian inequalities
• Entire Solutions of Real and Complex Monge–Ampère Equations

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