| Title: | A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration (English) | 
| Author: | Voss, Heinrich | 
| Language: | English | 
| Journal: | Applications of Mathematics | 
| ISSN: | 0862-7940 (print) | 
| ISSN: | 1572-9109 (online) | 
| Volume: | 48 | 
| Issue: | 6 | 
| Year: | 2003 | 
| Pages: | 607-622 | 
| Summary lang: | English | 
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| Category: | math | 
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| Summary: | In this paper we prove a maxmin principle for nonlinear nonoverdamped eigenvalue problems corresponding to the characterization of Courant, Fischer and Weyl for linear eigenproblems. We apply it to locate eigenvalues of a rational spectral problem in fluid-solid interaction. (English) | 
| Keyword: | nonlinear eigenvalue problem | 
| Keyword: | variational characterization | 
| Keyword: | maxmin principle | 
| Keyword: | fluid structure interaction | 
| MSC: | 35P30 | 
| MSC: | 47J10 | 
| MSC: | 49R50 | 
| MSC: | 74F10 | 
| MSC: | 74H45 | 
| idZBL: | Zbl 1099.35076 | 
| idMR: | MR2025967 | 
| DOI: | 10.1023/B:APOM.0000024497.09571.54 | 
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| Date available: | 2009-09-22T18:16:22Z | 
| Last updated: | 2020-07-02 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/134554 | 
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