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arXiv · 1706.05501

Regularity Bootstrapping For Fourth Order Non Linear Elliptic Equations

Arunima Bhattacharya·Micah Warren
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Abstract

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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Arunima Bhattacharya, Micah Warren. 2017-06-17. Regularity Bootstrapping For Fourth Order Non Linear Elliptic Equations. https://doi.org/10.1093/imrn%2Frny301

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