A coupled system of k‐Hessian equations

DOI10.1002/MMA.6053zbMath1472.35150OpenAlexW2989823969MaRDI QIDQ5004396

Xuemei Zhang, Mei-Qiang Feng

Publication date: 2 August 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6053

zbMATH Keywords

existence of radial solutionssystem of \(k\)-Hessian equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Symmetries, invariants, etc. in context of PDEs (35B06) Monge-Ampère equations (35J96) Boundary value problems for second-order elliptic systems (35J57)

Related Items (7)

Convex solutions of Monge-Ampère equations and systems: existence, uniqueness and asymptotic behavior ⋮ Positive solutions of singular \(k_i\)-Hessian systems ⋮ Existence of entire radial solutions to Hessian type system ⋮ Non-degeneracy and uniqueness of the radial solutions to a coupled \(k\)-Hessian system ⋮ Existence and nonexistence of entire \(k\)-convex radial solutions to Hessian type system ⋮ The existence and multiplicity of \(k\)-convex solutions for a coupled \(k\)-Hessian system ⋮ A class of singular \(k_{i}\)-Hessian systems

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