On Monge-Ampère equations with nonlinear gradient terms -- infinite boundary value problems

DOI10.1016/J.JDE.2021.07.034zbMath1473.35328OpenAlexW3195135704MaRDI QIDQ1981737

Giovanni Porru, Ahmed Mohammed

Publication date: 6 September 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.07.034

zbMATH Keywords

Monge-Ampère equationconvex solutionsexistence, uniquenessasymptotic boundary behavior

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 (6)

Existence and multiplicity of radial solutions for a \(k\)-Hessian system ⋮ Existence and boundary asymptotic behavior of strictly convex solutions for singular Monge-Ampère problems with gradient terms ⋮ Boundary blow-up solutions to singular \(k\)-Hessian equations with gradient terms: sufficient and necessary conditions and asymptotic behavior ⋮ The existence of infinitely many boundary blow-up solutions to the \(p\)-\(k\)-Hessian equation ⋮ Eigenvalue problems for singular \(p\)-Monge-Ampère equations ⋮ Existence of \(k\)-convex solutions for the \(k\)-Hessian equation

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