Analysis of nontrivial radial solutions for singular superlinear \(k\)-Hessian equations

DOI10.1016/j.aml.2020.106409zbMath1437.35323OpenAlexW3016944831MaRDI QIDQ2178713

Xuemei Zhang

Publication date: 11 May 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106409

zbMATH Keywords

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

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Monge-Ampère equations (35J96)

Related Items (6)

Existence and multiplicity of radial solutions for a \(k\)-Hessian system ⋮ On the solutions to weakly coupled system of \(\boldsymbol{k_i}\)-Hessian equations ⋮ The existence and multiplicity of \(k\)-convex solutions for a coupled \(k\)-Hessian system ⋮ Existence and asymptotic behavior of strictly convex solutions for singular \(k\)-Hessian equations with nonlinear gradient terms ⋮ Existence of \(k\)-convex solutions for the \(k\)-Hessian equation ⋮ Classification and existence of positive entire \(k\)-convex radial solutions for generalized nonlinear \(k\)-Hessian system

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