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.

引用

页码：213 / 222

页数：10

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