Sharp conditions on p and Ω are derived that completely classify Euclidean complete solutions to the Monge-Ampère equation with power term.
Pogorelov, The multidimensional Minkovski problem , Wiley, New Y ork, (1978)
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Complete Classification of the Euclidean Complete Solutions to a Monge-Ampere Equation
Sharp conditions on p and Ω are derived that completely classify Euclidean complete solutions to the Monge-Ampère equation with power term.