Regularity results for weak solutions of elliptic PDEs below the natural exponent
Analysis of PDEs
2014-11-17 v2
Abstract
We prove regularity estimates for weak solutions to the Dirichlet problem for a divergence form elliptic operator. We give estimates for the second derivative for . Our work generalizes results due to Miranda [28].
Keywords
Cite
@article{arxiv.1408.6749,
title = {Regularity results for weak solutions of elliptic PDEs below the natural exponent},
author = {David Cruz-Uribe and Kabe Moen and Scott Rodney},
journal= {arXiv preprint arXiv:1408.6749},
year = {2014}
}
Comments
Several results corrected and revised. We would like to thank Doyoon Kim for pointing out an error in the previous version