Sharp conditions on p and Ω are derived that completely classify Euclidean complete solutions to the Monge-Ampère equation with power term.
Ca ffarelli, A localization property of viscosity solutions to the Monge-Amp` ere equation and their strict convexity , Ann
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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.