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

Details A sufficient condition for a discrete spectrum of the Kirchhoff plate with an infinite peak A sufficient condition for a discrete spectrum of the Kirchhoff plate with an infinite peak

2012-03-11

arxiv.org/abs/1203.2331v1

Mathematics

Spectral Theory

12 pages, 1 figure, submitted to Math. Mech. Compl. Sys

Scientific paper

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.

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