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.

引用

页码：2651 / 2665

页数：15

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