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Some new estimates for solutions of degenerate two dimensional Monge-Ampere equations

Urbas, John

Description

We derive a monotonicity formula for smooth solutions u of degenerate two dimensional Monge-Ampère equations, and use this to obtain a local Hölder gradient estimate, depending on \\Δu\\Lp for some p > 1.

CollectionsANU Research Publications
Date published: 2001
Type: Journal article
URI: http://hdl.handle.net/1885/93287
Source: Mathematische Zeitschrift

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