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}(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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