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
收藏
页码：691 / 701
页数：11
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