UNBOUNDED POINCARE DOMAINS

被引：18

作者：

HURRISYRJANEN, R

机构：

[1] UNIV JYVASKYLA, DEPT MATH, SF-40351 JYVASKYLA, FINLAND

[2] UNIV HAWAII, HONOLULU, HI 96822 USA

[3] UNIV TEXAS, AUSTIN, TX 78712 USA

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 1992年 / 17卷 / 02期

关键词：

D O I：

10.5186/aasfm.1992.1725

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that unbounded John domains D in R(n) satisfy the Poincare inequality [GRAPHICS] where q = np/(n - p), 1 less-than-or-equal-to p < n, c = c(p, q, D), and u is-an-element-of L(p)(D), and that in a certain sense John domains form the largest subclass of (np/(n - p), p)-Poincare domains.

引用

页码：409 / 423

页数：15

共 25 条

[1]

BOJARSKI B, 1988, LECT NOTES MATH, V1351, P52

[2]

EVANS WD, 1987, P LOND MATH SOC, V54, P141

[3] THE LOCAL REGULARITY OF SOLUTIONS OF DEGENERATE ELLIPTIC-EQUATIONS [J].

FABES, EB ;

KENIG, CE ;

SERAPIONI, RP .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1982, 7 (01) :77-116

[4] LIPSCHITZ CLASSES AND QUASI-CONFORMAL MAPPINGS [J].

GEHRING, FW ;

MARTIO, O .

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1985, 10 (01) :203-219

[5] QUASIHYPERBOLIC GEODESICS IN JOHN DOMAINS [J].

GEHRING, FW ;

HAG, K ;

MARTIO, O .

MATHEMATICA SCANDINAVICA, 1989, 65 (01) :75-92

[6] QUASI-CONFORMALLY HOMOGENEOUS DOMAINS [J].

GEHRING, FW ;

PALKA, BP .

JOURNAL D ANALYSE MATHEMATIQUE, 1976, 30 :172-199

[7] THE WEIGHTED POINCARE INEQUALITIES [J].

HURRI, R .

MATHEMATICA SCANDINAVICA, 1990, 67 (01) :145-160

[8]

Hurri R., 1988, ANN ACAD SCI FENN A1, V71, P1

[9] HARDY-LITTLEWOOD INEQUALITY FOR QUASI-REGULAR-MAPPINGS IN CERTAIN DOMAINS IN RN [J].

IWANIEC, T ;

NOLDER, CA .

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1985, 10 (01) :267-282

[10]

Kufner A., 1985, WEIGHTED SOBOLEV SPA

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