Strictly convex solutions for singular Monge-Ampère equations with nonlinear gradient terms: existence and boundary asymptotic behavior

DOI10.1007/s42985-020-00025-zzbMath1455.35128OpenAlexW3081823776WikidataQ115370573 ScholiaQ115370573MaRDI QIDQ2218219

Huayuan Sun, Xuemei Zhang, Mei-Qiang Feng

Publication date: 15 January 2021

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-020-00025-z

zbMATH Keywords

existencenonlinear gradient termsboundary asymptotic behaviorsingular Monge-Ampère equationsstrictly convex solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Monge-Ampère equations (35J96)

Related Items (2)

Existence and boundary asymptotic behavior of strictly convex solutions for singular Monge-Ampère problems with gradient terms ⋮ Existence and asymptotic behavior of strictly convex solutions for singular \(k\)-Hessian equations with nonlinear gradient terms

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