Harnack inequality and continuity of solutions to elliptic equations with nonstandard growth conditions and lower order terms

被引：10

作者：

Liskevich, Vitali ^{[1
]}

Skrypnik, Igor I. ^{[2
]}

机构：

[1] Swansea Univ, Dept Math, Swansea SA2 8PP, W Glam, Wales

[2] Inst Appl Math & Mech, UA-83114 Donetsk, Ukraine

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2010年 / 189卷 / 02期

关键词：

Equations with nonstandard growth conditions; Harnack inequality; Continuity; Nonlinear Kato-class;

D O I：

10.1007/s10231-009-0111-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the Harnack inequality and continuity of solutions for a general class of divergence-type elliptic equations with nonstandard growth measurable coefficients in the main part and lower order terms from nonlinear Kato-type classes.

引用

页码：335 / 356

页数：22

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