On a power-type coupled system of k-Hessian equations

DOI10.2989/16073606.2020.1816586zbMath1481.35182OpenAlexW3092263201MaRDI QIDQ5023615

Chenghua Gao, Xingyue He, Maojun Ran

Publication date: 24 January 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2020.1816586

zbMATH Keywords

existenceuniquenessnon-existencesystem of \(k\)-Hessian equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for second-order elliptic systems (35J57)

Related Items (9)

Positive solutions of singular \(k_i\)-Hessian systems ⋮ Existence of entire radial solutions to Hessian type 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 ⋮ Existence and multiplicity of radially symmetric \(k\)-admissible solutions for a \(k\)-Hessian equation ⋮ The existence of radial \(k\)-admissible solutions for \(n\)-dimension system of \(k\)-Hessian equations ⋮ \(k\)-convex solutions for multiparameter Dirichlet systems with \(k\)-Hessian operator and Lane-Emden type nonlinearities ⋮ Entire positive \(p\)-\(k\)-convex radial solutions to \(p\)-\(k\)-Hessian equations and systems ⋮ A class of singular \(k_{i}\)-Hessian systems

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