Generalized Lyapunov inequalities involving critical Sobolev exponents

被引：0

作者：

Kwon, H. J. ^{[1
]}

Timoshin, S. A. ^{[2
]}

机构：

[1] PMI, Pohang, South Korea

[2] Inst Syst Dynam & Control Theory, Irkutsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2012年 / 53卷 / 04期

关键词：

elliptic equations; critical exponent; Lyapunov inequality; EQUATIONS;

D O I：

10.1134/S0037446612040118

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider Lyapunov-type inequalities generalizing the famous inequality that gives a necessary condition for the existence of solutions to a boundary value problem for a second order ordinary differential equation. For certain critical cases, when the inequalities are strict, we study the asymptotic behavior of minimizing sequences.

引用

页码：691 / 701

页数：11

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