Generalized Lyapunov inequalities involving critical Sobolev exponents

被引：0
作者：
H. J. Kwon
S. A. Timoshin
机构：
[1] PMI,
[2] Institute of Systems Dynamics and Control Theory,undefined
来源：
Siberian Mathematical Journal | 2012年 / 53卷
关键词：
elliptic equations; critical exponent; Lyapunov inequality;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：691 / 701
页数：10
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