On the Monge-Ampere equation with boundary blow-up: existence, uniqueness and asymptotics
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Cirstea, Florica-Corina
Trombetti, Cristina
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Springer
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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
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Calculus of Variations and Partial Differential Equations
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2037-12-31
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