A minmax principle for nonlinear eigenproblems depending continuously on the eigenparameter
Heinrich Voß · Numerical Linear Algebra with Applications · 2009
Abstract Variational characterizations of real eigenvalues of selfadjoint operators on a Hilbert space depending nonlinearly on an eigenparameter usually assume differentiable dependence of the operator on the eigenparameter. In this paper we generalize these results to nonlinear problems that depend only continuously on the parameter. This result is applied to a class of variational eigenvalue problems that in particular contains the vibrations of plates with attached masses. Copyright © 2009 John Wiley & Sons, Ltd.