Paper Title:

Application of Equivalence Method to Classify Monge-Ampère Equations of Elliptic Type

Author(s):

Moheddine Imsatfia

E-mail: imsatfia@math.jussieu.fr 

Abstract:

In this paper, we apply Cartan's equivalence method to give a local classification of Monge-Ampère equations of elliptic type. Then we find a necessary and sufficient conditions such that a Monge-Ampère equation is either contactomorphic to the Laplace equation or to an Euler-Lagrange equation.

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