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.

引用

页码：1047 / 1069

页数：22

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