A GENERALIZATION OF WIRTINGER INEQUALITY

被引：38

作者：

DACOROGNA, B ^{[1
]}

GANGBO, W ^{[1
]}

SUBIA, N ^{[1
]}

机构：

[1] ESCULEA POLITECN NACL,QUITO,ECUADOR

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1992年 / 9卷 / 01期

关键词：

D O I：

10.1016/S0294-1449(16)30249-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let alpha(I) = alpha(I) (p, q) = min {parallel-to u' parallel-to L(p)/parallel-to u parallel-to L(q)\ u is-an-element-of W1, p (-1, 1) back slash {0}, u(-1) = u(1), integral-1/1 u\u\q-2 = 0} alpha(II) = alpha(II) (p, q) = min {parallel-to u' parallel-to L(p)/parallel-to u parallel-to L(q)\ u is-an-element-of W1, p (-1, 1) back slash {0}, u(-1) = u(1), integral-1/1 u = 0}. We compute explicitly alpha(I) and we show that for q less-than-or-equal-to 2 p, alpha(I) = alpha(II), while for q sufficiently large alpha(II) < alpha(I).

引用

页码：29 / 50

页数：22

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