Refined boundary behavior of the unique convex solution to a singular Dirichlet problem for the Monge-Ampère equation

DOI10.1515/ANS-2017-6045zbMath1392.35175OpenAlexW2782570705MaRDI QIDQ1747858

Zhijun Zhang

Publication date: 27 April 2018

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2017-6045

zbMATH Keywords

Monge-Ampère equationboundary behaviorstrictly convex domainunique convex solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Monge-Ampère equations (35J96)

Related Items (5)

The existence of infinitely many boundary blow-up solutions to the \(p\)-\(k\)-Hessian equation ⋮ Asymptotic behavior of solutions to the Monge-Ampère equations with slow convergence rate at infinity ⋮ Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation ⋮ Optimal global asymptotic behavior of the solution to a singular Monge-Ampère equation ⋮ Blow-up solutions to the Monge-Ampère equation with a gradient term: sharp conditions for the existence and asymptotic estimates

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