Solutions of the trivial Monge-Ampère equation with isolated singular points

DOI10.17377/SEMI.2016.13.059zbMath1372.53041MaRDI QIDQ2402166

Idzhad Kh. Sabitov

Publication date: 6 September 2017

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

singular pointsglobal existencesmoothness of solutionszero curvature surfaces

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems for first-order elliptic systems (35J56) Parabolic Monge-Ampère equations (35K96)

Related Items (3)

Locally Euclidean metrics and their isometric realizations ⋮ Two-dimensional surfaces in 3-dimensional and 4-dimensional Euclidean spaces. Results and unsolved problems ⋮ The action of the Monge-Ampère operator on polynomials in the plane and its fixed points of polynomial type

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