Regularity Bootstrapping For Fourth Order Non Linear Elliptic Equations
arXiv:1706.05501 · doi:10.1093/imrn/rny301
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.