Entire large solutions to the \(k\)-Hessian equations with weights: existence, uniqueness and asymptotic behavior

DOI10.1016/j.jmaa.2021.125301zbMath1468.35078OpenAlexW3158451005MaRDI QIDQ2038194

Xiaoyan Qiao, Haitao Wan, Yongxiu Shi

Publication date: 9 July 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125301

zbMATH Keywords

existenceasymptotic behavioruniqueness\(k\)-Hessian equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Monge-Ampère equations (35J96)

Related Items (5)

Existence of entire large convex radially solutions to a class of Hessian type equations with weights ⋮ Existence and asymptotic behavior of strictly convex solutions for singular \(k\)-Hessian equations with nonlinear gradient terms ⋮ Necessary and sufficient conditions for the existence of entire subsolutions to \(p\)-\(k\)-Hessian equations ⋮ Existence and asymptotic behavior of entire large solutions for Hessian equations ⋮ Entire positive \(p\)-\(k\)-convex radial solutions to \(p\)-\(k\)-Hessian equations and systems

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