AN IMPROVED POINCARE INEQUALITY

被引：35
|
作者：
HURRISYRJANEN, R [1 ]
机构：
[1] UNIV JYVASKYLA, DEPT MATH, SF-40351 JYVASKYLA, FINLAND
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 120卷 / 01期
关键词：
POINCARE INEQUALITY; POINCARE DOMAINS; JOHN DOMAINS; DOMAINS SATISFYING A QUASIHYPERBOLIC BOUNDARY CONDITION;
D O I：
10.2307/2160188
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that a large class of domains D in R(n) including John domains satisfies the improved Poincare inequality \\u(x) - U-D\\L(q)(D) less than or equal to C\\del u(X)d(X, partial derivative D)(delta)\\L(p)(D) where p less than or equal to q less than or equal to np/n-p(1-delta), p(1-delta) < n, delta is an element of [0, 1], c = c(p, q, delta, D) < infinity, and u is in an appropriate Sobolev class.
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页码：213 / 222
页数：10
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