Stammberger, MarkusMarkusStammbergerVoß, HeinrichHeinrichVoß2021-05-212021-05-212014-02-12Applications of Mathematics 59 (1): 1-13 (2014)http://hdl.handle.net/11420/9592Small amplitude vibrations of an elastic structure completely filled by a fluid are considered. Describing the structure by displacements and the fluid by its pressure field one arrives at a non-selfadjoint eigenvalue problem. Taking advantage of a Rayleigh functional we prove that its eigenvalues can be characterized by variational principles of Rayleigh, minmax and maxmin type. © 2014 Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic.en0862-794020141113eigenvalue problemfluid-solid vibrationmaxmin principlemin-max principlevariational characterizationMathematikJournal Article10.1007/s10492-014-0037-7Other