A minmax principle for nonlinear eigenproblems depending continuously on the eigenparameter
نویسنده
چکیده
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 which depend only continuously on the parameter. This result is applied to a class of variational eigenvalue problems which in particular contains the vibrations of plates with attached masses. Dedicated to Ivo Marek on the occasion of his 75th birthday
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ورودعنوان ژورنال:
- Numerical Lin. Alg. with Applic.
دوره 16 شماره
صفحات -
تاریخ انتشار 2009