Monge-Ampère Differential Equation
A second-order Partial Differential Equation of the form
where
, 
, 
, 
, and 
are functions of 
, 
, 
, 
, and 
, and 
, 
, 
, , and aredefined by |  |  | |
 | |  | |
 | |  | |
 | |  | |
 | |  |
The solutions are given by a system of differential equations given by Iyanaga and Kawada (1980).
References
Iyanaga, S. and Kawada, Y. (Eds.). ``Monge-Ampère Equations.'' §276 in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, pp. 879-880, 1980.
- Poincaré Manifold
- Poincaré Metric
- Poincaré Separation Theorem
- Poincaré's Holomorphic Lemma
- Poincaré's Lemma
- Poinsot Solid
- Poinsot's Spirals
- Point
- Point at Infinity
- Point Estimator
- Point Groups
- Point-Line Distance--2-D
- Point-Line Distance--3-D
- Point Picking
- Point-Plane Distance
- Point-Point Distance--1-D
- Point-Point Distance--2-D
- Point-Point Distance--3-D
- Point Probability
- Point-Quadratic Distance
- Point-Set Topology
- Points Problem
- Pointwise Dimension
- Poisson Bracket
- Poisson-Charlier Function