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arxiv: 1706.05501 · v1 · pith:MFNDZRO6new · submitted 2017-06-17 · 🧮 math.AP

Regularity Bootstrapping For Fourth Order Non Linear Elliptic Equations

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keywords equationsellipticfourthorderalphabootstrappingcertainclass
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We consider nonlinear fourth order elliptic equations of double divergence type. We show that for a certain class of equations where the nonlinearity is in the Hessian, solutions that are C^{2,alpha} enjoy interior estimates on all derivatives.

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