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

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Urbas, John

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Springer

Abstract

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.

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Mathematische Zeitschrift

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2037-12-31
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