WEIGHTED SOBOLEV-POINCARE INEQUALITIES AND POINTWISE ESTIMATES FOR A CLASS OF DEGENERATE ELLIPTIC-EQUATIONS

被引：73

作者：

FRANCHI, B

机构：

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 327卷 / 01期

关键词：

D O I：

10.2307/2001837

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove a Sobolev-Poincare inequality for a class of function spaces associated with some degenerate elliptic equations. These estimates provide us with the basic tool to prove an invariant Harnack inequality for weak positive solutions. In addition, Holder regularity of the weak solutions follows in a standard way.

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页码：125 / 158

页数：34

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