Lyapunov inequality for elliptic equations involving limiting nonlinearities

被引：6
作者：
Timoshin, Sergey A. [1 ,2 ]
机构：
[1] POSTECH, Dept Math, Pohang 790784, Kyungbuk, South Korea
[2] POSTECH, PMT, Pohang 790784, Kyungbuk, South Korea
来源：
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2010年 / 86卷 / 08期
关键词：
Elliptic equations; critical exponents; Lyapunov inequality; CRITICAL SOBOLEV EXPONENTS; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS;
D O I：
10.3792/pjaa.86.139
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This note deals with a generalization of the famous Lyapunov inequality giving a necessary condition for the existence of solutions to a boundary value problem for an ordinary differential equation. The problem we consider is closely related to a well-known problem on an asymptotic behavior of positive solutions of a class of semilinear elliptic equations of nearly critical Sobolev growth.
引用
收藏
页码：139 / 142
页数：4
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