On a class of operators
V. Rakočević (1985)
Matematički Vesnik
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Displaying similar documents to “Inequalities and eigenvalues of Sturm-Liouville problems near a singular boundary.”
On a class of operators
On the singular spectrum of discrete Schrödinger operator
S. Naboko (1993-1994)
Séminaire Équations aux dérivées partielles (Polytechnique)
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The essential spectrum of relativistic one-electron ions in the Jansen-Hess model.
Jakubassa-Amundsen, D.H. (2002)
Mathematical Physics Electronic Journal [electronic only]
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General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators
Jean Dolbeault, Maria Esteban, Eric Séré (2006)
Journal of the European Mathematical Society
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This paper is concerned with an extension and reinterpretation of previous results on the variational characterization of eigenvalues in gaps of the essential spectrum of self-adjoint operators. We state two general abstract results on the existence of eigenvalues in the gap and a continuation principle. Then these results are applied to Dirac operators in order to characterize simultaneously eigenvalues corresponding to electronic and positronic bound states.
Some problems of the spectral theory of operator pencils.
Maksudov, F.G. (1997)
Memoirs on Differential Equations and Mathematical Physics
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On the geometric properties of the joint spectrum of a family of self-adjoint operators
Yu. Abramov (1977)
Studia Mathematica
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Note on the absolutely continuous spectrum of Sturm-Liouville operators.
Albert Schneider, Frank Mantlik (1990)
Mathematische Zeitschrift
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Numerical calculation of the essential spectrum of a Laplacian.
Neuberger, J.W., Renka, R.J. (1999)
Experimental Mathematics
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Two notions which affected nonlinear analysis (Bernard Bolzano lecture)
Pavel Drábek (2014)
Mathematica Bohemica
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General mathematical theories usually originate from the investigation of particular problems and notions which could not be handled by available tools and methods. The Fučík spectrum and the -Laplacian are typical examples in the field of nonlinear analysis. The systematic study of these notions during the last four decades led to several interesting and surprising results and revealed deep relationship between the linear and the nonlinear structures. This paper does not provide a...
Discrete spectrum of the periodic elliptic operator with a differential perturbation
Mikhail Sh. Birman (1994)
Journées équations aux dérivées partielles
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On the spectrum of Robin Laplacian in a planar waveguide
Alex Ferreira Rossini (2019)
Czechoslovak Mathematical Journal
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We consider the Laplace operator in a planar waveguide, i.e. an infinite two-dimensional straight strip of constant width, with Robin boundary conditions. We study the essential spectrum of the corresponding Laplacian when the boundary coupling function has a limit at infinity. Furthermore, we derive sufficient conditions for the existence of discrete spectrum.