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On the Monge-Ampere equation with boundary blow-up: existence, uniqueness and asymptotics

Cirstea, Florica-Corina; Trombetti, Cristina


We consider the Monge-Ampère equation det D 2 u = b(x)f(u) > 0 in Ω, subject to the singular boundary condition u = ∞ on Ω. We assume that b C (overline)Ω is positive in Ω and non-negative on Ω. Under suitable conditions on f, we establish the exi

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
Source: Calculus of Variations and Partial Differential Equations
DOI: 10.1007/s00526-007-0108-7


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