A sharp Hölder estimate for elliptic equations in two variables
Published online by Cambridge University Press: 12 July 2007
Abstract
We prove a sharp Hölder 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 unit determinant. Our result extends some previous work by Piccinini and Spagnolo. The proof relies on a sharp Wirtinger type inequality.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 1 , February 2005 , pp. 165 - 173
- Copyright
- Copyright © Royal Society of Edinburgh 2005
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