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Global solutions and exterior Dirichlet problem for Monge-Ampère equation in \(\mathbb{R}^2\).

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Publication:265221
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zbMath1374.35188arXiv1502.07161MaRDI QIDQ265221

Lei Zhang, Hai Gang Li, Ji Guang Bao

Publication date: 1 April 2016

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.07161


zbMATH Keywords

asymptotic behaviorPerron's methodradial solutionconvex viscosity solution


Mathematics Subject Classification ID

Boundary values of solutions to elliptic equations and elliptic systems (35J67) Monge-Ampère equations (35J96)


Related Items (6)

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 ⋮ Necessary and sufficient conditions on the existence of solutions for the exterior Dirichlet problem of Hessian equations ⋮ 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 ⋮ Parabolic Hessian equations outside a bowl-shaped domain




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