Geodesic
A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration
Applications of Mathematics, Tome 48 (2003) no. 6, pp. 607-622.

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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.
DOI : 10.1023/B:APOM.0000024497.09571.54
Classification : 35P30, 47J10, 49R50, 74F10, 74H45
Keywords: nonlinear eigenvalue problem; variational characterization; maxmin principle; fluid structure interaction 
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Voss, Heinrich. A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration. Applications of Mathematics, Tome 48 (2003) no. 6, pp. 607-622. doi : 10.1023/B:APOM.0000024497.09571.54. http://geodesic.mathdoc.fr/articles/10.1023/B:APOM.0000024497.09571.54/

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