A sharp Hölder estimate for elliptic equations in two variables

Details A sharp Hölder estimate for elliptic equations in two variables A sharp Hölder estimate for elliptic equations in two variables

2004-06-24

arxiv.org/abs/math/0406495v2

Mathematics

Analysis of PDEs

A mistake corrected; references updated

Scientific paper

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.

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