A SUFFICIENT CONDITION FOR A DISCRETE SPECTRUM OF THE KIRCHHOFF PLATE WITH AN INFINITE PEAK

Fedor L. Bakharev (1) , Sergey A. Nazarov (1) , Guido H. Sweers (2)

1 Mathematics and Mechanics Faculty [St Petersbourg]
2 Mathematisches Institut

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.

Mots clés: Kirchhoff plate; cusp; peak; discrete and continuous spectra

Domaines: Mécanique [physics.med-ph]

Fedor L. Bakharev, Sergey A. Nazarov, Guido H. Sweers. A SUFFICIENT CONDITION FOR A DISCRETE SPECTRUM OF THE KIRCHHOFF PLATE WITH AN INFINITE PEAK. Mathematics and Mechanics of Complex Systems, 2013, 1 (2), pp.233-247. ⟨10.2140/memocs.2013.1.233⟩. ⟨hal-00905661⟩