The existence of radial \(k\)-admissible solutions for \(n\)-dimension system of \(k\)-Hessian equations

DOI10.1007/s11766-023-4648-1zbMath1524.34071OpenAlexW4381743952MaRDI QIDQ6109262

Xingyue He, Chenghua Gao, Jing-jing Wang

Publication date: 27 July 2023

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-023-4648-1

zbMATH Keywords

existencefixed-point theorem\(k\)-Hessian equationsradial \(k\)-admissible solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Nonlinear elliptic equations (35J60) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Cites Work

• Unnamed Item
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• Existence and uniqueness of nontrivial radial solutions for \(k\)-Hessian equations
• On solutions of δu=f(u)
• Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations
• On a power-type coupled system of k-Hessian equations
• Three radially symmetric k-admissible solutions for k-Hessian equation

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