Regularity Bootstrapping for 4th-order Nonlinear Elliptic Equations
Regularity Bootstrapping for 4th-order Nonlinear Elliptic Equations
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.