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A sufficient condition for a discrete spectrum of the Kirchhoff plate with an infinite peak. / Bakharev, Fedor L.; Nazarov, Sergey A.; Sweers, Guido H.

In: Mathematics and Mechanics of Complex Systems, Vol. 1, No. 2, 2013, p. 233-247.

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Bakharev, Fedor L. ; Nazarov, Sergey A. ; Sweers, Guido H. / A sufficient condition for a discrete spectrum of the Kirchhoff plate with an infinite peak. In: Mathematics and Mechanics of Complex Systems. 2013 ; Vol. 1, No. 2. pp. 233-247.

BibTeX

@article{b04519c00da34665bddbb05c207193e8,
title = "A sufficient condition for a discrete spectrum of the Kirchhoff plate with an infinite peak",
abstract = "Sufficient conditions for a discrete spectrum of the biharmonic equation in a two-dimensional peak-shaped domain are established. Different boundary conditions from Kirchhoff{\textquoteright}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.",
keywords = "Kirchhoff plate, cusp, peak, discrete and continuous spectra",
author = "Bakharev, {Fedor L.} and Nazarov, {Sergey A.} and Sweers, {Guido H.}",
year = "2013",
doi = "10.2140/memocs.2013.1.233",
language = "English",
volume = "1",
pages = "233--247",
journal = "Mathematics and Mechanics of Complex Systems",
issn = "2326-7186",
publisher = "Mathematical Sciences Publishers",
number = "2",

}

RIS

TY - JOUR

T1 - A sufficient condition for a discrete spectrum of the Kirchhoff plate with an infinite peak

AU - Bakharev, Fedor L.

AU - Nazarov, Sergey A.

AU - Sweers, Guido H.

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - Kirchhoff plate

KW - cusp

KW - peak

KW - discrete and continuous spectra

U2 - 10.2140/memocs.2013.1.233

DO - 10.2140/memocs.2013.1.233

M3 - Article

VL - 1

SP - 233

EP - 247

JO - Mathematics and Mechanics of Complex Systems

JF - Mathematics and Mechanics of Complex Systems

SN - 2326-7186

IS - 2

ER -

ID: 5641945