1203.2331 (F. L. Bakharev et al.)

A sufficient condition for a discrete spectrum of the Kirchhoff plate
with an infinite peak    [PDF]

F. L. Bakharev, S. A. Nazarov, G. H. Sweers

Sufficient conditions for a discrete spectrum of the biharmonic equation in a two-dimensional peak-shaped domain are established. Different boundary conditions from Kirchhoff's plate theory are imposed on the boundary and the results depend both on the type of boundary conditions and the sharpness exponent of the peak.

View original: http://arxiv.org/abs/1203.2331