A Maxmin Principle for Nonlinear Eigenvalue Problems with Application to a Rational Spectral Problem in Fluid-Solid Vibration

Voß, HeinrichHeinrichVoß2006-02-242006-02-242002-06Applications of Mathematics (2003) 48: 607.http://tubdok.tub.tuhh.de/handle/11420/159In 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.enhttp://rightsstatements.org/vocab/InC/1.0/nonlinear eigenvalue problemmaxmin principlefluid structure interactionMathematikA Maxmin Principle for Nonlinear Eigenvalue Problems with Application to a Rational Spectral Problem in Fluid-Solid VibrationJournal Article2006-03-01urn:nbn:de:gbv:830-opus-219110.15480/882.157Nichtlineares EigenwertproblemFree problems in one independent variable11420/15910.1023/B:APOM.0000024497.09571.5410.15480/882.157930768083Journal Article