Existence of entire solutions to the Monge-Ampère equation

DOI10.1353/AJM.2014.0029zbMath1302.35189OpenAlexW2028581992MaRDI QIDQ2879442

Huai-Yu Jian, Xu-Jia Wang

Publication date: 1 September 2014

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/summary/v136/136.4.jian.html

zbMATH Keywords

convex functionMonge-Ampère equationGauss curvature

Mathematics Subject Classification ID

Entire solutions to PDEs (35B08) Monge-Ampère equations (35J96)

Related Items (11)

On a fractional Monge-Ampère operator ⋮ Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications ⋮ Existence of entire positive \(k\)-convex radial solutions to Hessian equations and systems with weights ⋮ A Liouville theorem for the Neumann problem of Monge-Ampère equations ⋮ Existence and asymptotic behavior of entire large solutions for Hessian equations ⋮ Monotonicity of solutions for parabolic equations involving nonlocal Monge-Ampère operator ⋮ On the existence and asymptotic behavior of viscosity solutions of Monge-Ampère equations in half spaces ⋮ Symmetry of solutions to a class of Monge-Ampère equations ⋮ A singular Monge-Ampère equation on unbounded domains ⋮ Entire large solutions to the \(k\)-Hessian equations with weights: existence, uniqueness and asymptotic behavior ⋮ Convergence of Gauss curvature flows to translating solitons

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