A multi-parameter eigenvalue problem
β Scribed by Patrick J Browne
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 646 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## Abstract We consider the SturmβLiouville problem (1.1) and (1.2) with a potential depending rationally on the eigenvalue parameter. With these equations a __Ξ»__ βlinear eigenvalue problem is associated in such a way that __L__~2~βsolutions of (1.1), (1.2) correspond to eigenvectors of a linear o
## Abstract We study the asymptotic behaviour of the principal eigenvalue of a Robin (or generalised Neumann) problem with a large parameter in the boundary condition for the Laplacian in a piecewise smooth domain. We show that the leading asymptotic term depends only on the singularities of the bo