Regularity Bootstrapping For Fourth Order Non Linear Elliptic Equations

17 Jun 2017  ·  Bhattacharya Arunima, Warren Micah ·

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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Analysis of PDEs