Monge-Ampère equations form a pivotal class of fully nonlinear partial differential equations that have deep roots in differential geometry, optimisation and mass transport theories. Their study, ...
Plurisubharmonic functions form a central tool in the study of several complex variables, offering a robust framework for analysing complex phenomena via potential theory. These functions, which are ...
It is well known that the quadratic-cost optimal transportation problem is formally equivalent to the second boundary value problem for the Monge–Ampère equation. Viscosity solutions are a powerful ...
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