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
收藏
页码：335 / 356
页数：22
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