#### Zexin Qi, On a boundary blow-up problem for the Monge-Ampere equation, 2016 (2016), Article ID 47 (22 October 2016)

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Abstract

We consider boundary blow-up solutions to the Monge-Ampere equation $det D^2u=p(x)e^{q(x)u}$ in bounded, smooth and strictly convex domain in $R^N$.  Our main concern is the effect of the non-constant weight function q(x) on solvability of the problem. Existence and non-existence results are obtained through sub-super solution method and comparison principle.