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Existence and nonexistence to exterior Dirichlet problem For Monge-Amp\`ere equation
classification
🧮 math.AP
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asymptoticdirichletequationexistenceexteriormonge-ampnonexistenceproblem
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We consider the exterior Dirichlet problem for Monge-Amp\`ere equation with prescribed asymptotic behavior. Based on earlier work by Caffarelli and the first named author, we complete the characterization of the existence and nonexistence of solutions in terms of their asymptotic behaviors.
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