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.