Sharp conditions on p and Ω are derived that completely classify Euclidean complete solutions to the Monge-Ampère equation with power term.
Trudinger, On the Dirichlet problem for Hessian equations , Acta Math., 175 (1995), 151-164
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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.