Regularity of solutions of degenerate A-harmonic equations

被引：8
|
作者：
Giannetti, Flavia [1 ]
Greco, Luigi [1 ]
di Napoli, Antonia Passarelli [1 ]
机构：
[1] Univ Naples Federico 2, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 08期
关键词：
Degenerate A-harmonic equations; Very weak solutions; Finite energy solutions; Higher integrability; ELLIPTIC-SYSTEMS; WEAK SOLUTIONS; INTEGRABILITY; SPACES;
D O I：
10.1016/j.na.2010.06.044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the regularity of solutions to degenerate A-harmonic equations under suitable integrability assumptions on the ellipticity and growth coefficients. In particular we show a self-improving property of the gradient of the solutions, extending previous results by Gehring and Iwaniec-Sbordone valid in the uniformly elliptic setting. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：2651 / 2665
页数：15
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