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

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 sharpn...

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Veröffentlicht in:Mathematics and mechanics of complex systems 2013-01, Vol.1 (2), p.233-247
Hauptverfasser: Bakharev, Fedor, Nazarov, Sergey, Sweers, Guido
Format: Artikel
Sprache:eng
Schlagworte:
Engineering Sciences
Mechanics
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Zusammenfassung: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.
ISSN:2326-7186
2325-3444
DOI:10.2140/memocs.2013.1.233