A sharp Hölder estimate for elliptic equations in two variables

2004/06/24 by Tonia Ricciardi, Ricciardi, Tonia
Computer Science · Mathematics · #35J60 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #math.AP #msc:35J60

paper · pdf · doi:10.48550/arxiv.math/0406495

A mistake corrected; references updated

openalex publication_date 2004/06/24 · arxiv created 2004/09/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \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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