A higher integrability result for nondivergence elliptic equations

被引:0
|
作者
T. Radice
机构
[1] Università degli Studi di Napoli “Federico II”,Dipartimento di Matematica e Applicazioni “R. Caccioppoli”
来源
Annali di Matematica Pura ed Applicata | 2008年 / 187卷
关键词
Nondivergence elliptic equations; BMO spaces; 35J15; 32A37;
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学科分类号
摘要
The aim of this paper is to establish a higher integrability result of the second derivatives of solutions to nondivergence elliptic equations of the type \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sum_{i,j}^n a_{ij} \frac{\partial^2 u}{\partial x_i \partial x_j} =h$$\end{document}. We assume that the coefficients aij are bounded and have small BMO-norm.
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页码:93 / 103
页数:10
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