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Existence of entire solutions to the Monge-Ampre equation

Jian, Huaiyu; Wang, Xu-Jia

Description

We prove the existence of infinitely many entire convex solutions to the Monge-Ampère equation det D2u = f in ℝn, assuming that the inhomogeneous term f ≥ 0 and is of polynomial growth at infinity. When f satisfies the doubling condition, we show tha

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
URI: http://hdl.handle.net/1885/74311
Source: American Journal of Mathematics
DOI: 10.1353/ajm.2014.0029

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