Existence of entire solutions of Monge-Ampère equations with prescribed asymptotic behavior

DOI10.1007/S00526-019-1639-4zbMath1444.35084arXiv1809.05421OpenAlexW2981941553MaRDI QIDQ2334515

Jingang Xiong, Ziwei Zhou, Ji Guang Bao

Publication date: 7 November 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.05421

zbMATH Keywords

global solutionMonge-Ampère equationasymptotic behavior at infinityAlexandrov solution

Mathematics Subject Classification ID

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

Related Items (7)

The exterior Dirichlet problems of Monge-Ampère equations in dimension two ⋮ Necessary and sufficient conditions on the existence of solutions for the exterior Dirichlet problem of Hessian equations ⋮ Liouville property and existence of entire solutions of Hessian equations ⋮ Existence and uniqueness of viscosity solutions to the exterior problem of a parabolic Monge-Ampère equation ⋮ The Solutions with Prescribed Asymptotic Behavior for the Exterior Dirichlet Problem of Hessian Equations ⋮ Existence of entire solutions to the Lagrangian mean curvature equations in supercritical phase ⋮ Maximum principles for \(k\)-Hessian equations with lower order terms on unbounded domains

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