Principal Eigenvalues for Generalised Indefinite Robin Problems

被引：0
|
作者：
Daniel Daners
机构：
[1] University of Sydney,School of Mathematics and Statistics
来源：
Potential Analysis | 2013年 / 38卷
关键词：
Elliptic boundary value problem; Principal Eigenvalue; Generalised Robin problem; Indefinite Eigenvalue problem; 35J25; 35P15; 47F05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the principal eigenvalue of generalised Robin boundary value problems on non-smooth domains, where the zero order coefficient of the boundary operator is negative or changes sign. We provide conditions so that the related eigenvalue problem has a principal eigenvalue. We work with the framework involving measure data on the boundary due to Arendt and Warma (Potential Anal 19:341–363, 2003). Examples of simple domains with cusps are used to illustrate all possible phenomena.
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页码：1047 / 1069
页数：22
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