The Monge―Ampère Equation

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On the local theory of prescribed Jacobian equations (2012, unknown): “These arguments also parallel the special case of the Monge-Ampère measure of Aleksandrov, as presented for example in the book [8].”
Boundary behavior of large solutions to the Monge-Ampère equations with weights (2015, background): “For the existence, regularity theory and other properties of solutions to the Monge–Ampère equations, see, for instance, [3,6,7,9,17,19,21,29–31,40,42] and the references therein.”
Properties of the solutions to the Monge–Ampère equation (2004, background): “Also, since the (DC)-doubling property of μφ implies another doubling condition of μφ on the sections, now with respect to the parameter t (see [8, 9]), we have that the engulfing property turns (Rn, dφ, μφ) into a space of homogeneous type.”
Finite element approximations of the three dimensional Monge-Ampère equation (2012, background): “Introduction Let u be a smooth solution to the Monge-Ampère equation [7, 20, 27]: det(D(2)u) = f in Ω, (1.”