Regularity Bootstrapping For Fourth Order Non Linear Elliptic Equations
Analysis of PDEs
2019-01-23 v1
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.
Keywords
Cite
@article{arxiv.1706.05501,
title = {Regularity Bootstrapping For Fourth Order Non Linear Elliptic Equations},
author = {Arunima Bhattacharya and Micah Warren},
journal= {arXiv preprint arXiv:1706.05501},
year = {2019}
}