SOBOLEV-POINCARE INEQUALITIES FOR P-LESS-THAN-1

被引：14

作者：

BUCKLEY, SM ^{[1
]}

KOSKELA, P ^{[1
]}

机构：

[1] UNIV MICHIGAN,DEPT MATH,ANN ARBOR,MI 48109

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 1994年 / 43卷 / 01期

关键词：

D O I：

10.1512/iumj.1994.43.43011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If OMEGA is a John domain (or certain more general domains), and \del u\ satisfies a certain mild condition, we show that u is-an-element-of W-loc(1), W-loc(1) (OMEGA) satisfies a Sobolev-Poincare inequality (integral-OMEGA\u-a\q)1/q less-than-or-equal-to C(integral-OMEGA\del u\p)1/p for all 0 < p < 1, and appropriate q > 0. Our conclusion is new even when OMEGA is a ball.

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页码：221 / 240

页数：20

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