General solutions of the Monge-Ampère equation in \(n\)-dimensional space

DOI10.1016/0393-0440(94)00035-3zbMath0823.35034arXivhep-th/9403134OpenAlexW1967514960MaRDI QIDQ1894598

A. N. Leznov, David B. Fairlie

Publication date: 3 August 1995

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9403134

zbMATH Keywords

homogeneous Monge-Ampère equation

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Solutions to PDEs in closed form (35C05)

Related Items (13)

Homogeneous Euler equation: blow-ups, gradient catastrophes and singularity of mappings ⋮ Massive gravity: a general analysis ⋮ Classification of shift-symmetric no-scale supergravities ⋮ A quadratically constrained minimization problem arising from PDE of Monge-Ampère type ⋮ Бигравитация в гамильтоновом формализме ⋮ On the hierarchy and fine structure of blowups and gradient catastrophes for multidimensional homogeneous Euler equation ^* ⋮ Integrable boundary problems for 2D Toda lattice ⋮ On the integrability of a third-order Monge-Ampère type equation. ⋮ Implicit Solutions to Some Lorentz Invariant Nonlinear Equations Revisited ⋮ On twisting type [N ⊗ [N] Ricci flat complex spacetimes with two homothetic symmetries] ⋮ Higher derivative field theories: degeneracy conditions and classes ⋮ Constraint algebra in tetrad bigravity ⋮ On universality of homogeneous Euler equation

Cites Work

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• The Dirichlet problem for a complex Monge-Ampère equation
• Complex Monge-Ampere and Symplectic Manifolds
• Euler hierarchies and universal equations
• Linearization of universal field equations
• Formal Solutions of an Evolution Equation of Riemann Type

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