Pseudo-linear superposition principle for the Monge–Ampère equation based on generated pseudo-operations

Through this paper, we consider generated pseudo-operations of the following form: x ⊕ y = g −1(g(x) + g(y)), x y = g −1(g(x)g(y)), where g is a continuous generating function. Pseudo-linear superposition principle, i.e., the superposition principle with this type of pseudo-operations in the core, for the Monge–Ampère equation is investigated. © 2007 Elsevier Inc. All rights reserved