A singularly perturbed linear eigenvalue problem in C1 domains

被引：29

作者：

Lou, Y

Zhu, MJ

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

[2] Univ Oklahoma, Dept Math, Norman, OK 73019 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2004年 / 214卷 / 02期

关键词：

D O I：

10.2140/pjm.2004.214.323

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some non-existence result is established for bounded solutions of a Neumann problem on the upper half space. Based on this non-existence result, precise asymptotic behavior is given for the principal eigenvalue of some linear eigenvalue problem in bounded C-1 domains, and this answers a question that appeared in Lacey et al, 1998.

引用

页码：323 / 334

页数：12