A sharp H\"older estimate for elliptic equations in two variables
Analysis of PDEs
2007-05-23 v2
Abstract
We prove a sharp H\"older estimate for solutions of linear two-dimensional, divergence form elliptic equations with measurable coefficients, such that the matrix of the coefficients is symmetric and has {\em unit determinant}. Our result extends some previous work by Piccinini and Spagnolo. The proof relies on a sharp Wirtinger type inequality.
Keywords
Cite
@article{arxiv.math/0406495,
title = {A sharp H\"older estimate for elliptic equations in two variables},
author = {Tonia Ricciardi},
journal= {arXiv preprint arXiv:math/0406495},
year = {2007}
}
Comments
A mistake corrected; references updated