A control condition for a weak Harnack inequality

被引：5
|
作者：
Kogoj, Alessia E. [1 ]
机构：
[1] Univ Bologna, Dipartimento Matemat, IT-40126 Bologna, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 11期
关键词：
Harnack inequality; X-elliptic operators; Liouville theorems; X-ELLIPTIC OPERATORS; VECTOR-FIELDS; POINCARE INEQUALITY; THEOREMS; SPACES;
D O I：
10.1016/j.na.2012.03.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a new condition allowing to get a weak Harnack inequality for non-negative solutions to linear second order degenerate elliptic equations of X-elliptic type. Roughly speaking, our condition requires that the Euclidean balls of small radius are representable by means of X-controllable almost exponential maps. (C) 2012 Elsevier Ltd. All rights reserved.
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页码：4198 / 4204
页数：7
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