On the exterior Dirichlet problem for the Monge-Ampère equation in dimension two

DOI10.1016/J.NA.2012.07.017zbMath1254.35105OpenAlexW2163330062MaRDI QIDQ714470

Hai Gang Li, Ji Guang Bao

Publication date: 11 October 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.07.017

zbMATH Keywords

Monge-Ampère equationexterior Dirichlet problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Monge-Ampère equations (35J96)

Related Items (12)

The exterior Dirichlet problems of Monge-Ampère equations in dimension two ⋮ The first initial-boundary value problem of parabolic Monge-Ampère equations outside a bowl-shaped domain ⋮ Exterior problems of parabolic Monge-Ampère equations for \(n=2\) ⋮ Necessary and sufficient conditions on the existence of solutions for the exterior Dirichlet problem of Hessian equations ⋮ Boundary blow-up solutions to singular \(k\)-Hessian equations with gradient terms: sufficient and necessary conditions and asymptotic behavior ⋮ The Solutions with Prescribed Asymptotic Behavior for the Exterior Dirichlet Problem of Hessian Equations ⋮ Parabolic Hessian equations outside a bowl-shaped domain ⋮ Exterior problems for a parabolic Monge-Ampère equation ⋮ Monge-Ampère equation on exterior domains ⋮ On the exterior Dirichlet problem for Monge-Ampère equations ⋮ Blow-up solutions to the Monge-Ampère equation with a gradient term: sharp conditions for the existence and asymptotic estimates ⋮ Exterior problems for more general parabolic Monge-Ampère equation in more general domain

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