PROCEEDINGS IPMU '08

Pseudo-linear superposition principle for the Monge-Ampère equation based on generated pseudo-operations with three parameters

D. Vivona, I. Stajner-Papuga.

We are considering generated pseudo-operations with three parameters of the following form: x ⊕ y = g-1 (ε1g(x) + ε2) , x ⊗ y = g^-1(g^δ(x)g(y)), where g is a strictly monotone bijection and ε1, ε2 and δ arbitrary but fixed positive real numbers. The superposition principle with this type of pseudo-operations in the core for the Monge-Ampère equation is presented.

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