On the spectrum of singularly perturbed operators
O. A. Olejnik (1989)
Journées équations aux dérivées partielles
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Displaying similar documents to “On positive eigenvectors of a linear eigenvalue problem”
On the spectrum of singularly perturbed operators
Equality in Wielandt’s eigenvalue inequality
Shmuel Friedland (2015)
Special Matrices
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In this paper we give necessary and sufficient conditions for the equality case in Wielandt’s eigenvalue inequality.
Dependence of a differential equation on the first eigenvalue of a suitable problem
Jan Bochenek (1980)
Annales Polonici Mathematici
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Further applications of iterations of linear bounded operators in not self-adjoint eigenvalue problems (Summary of author's results)
Ivo Marek (1961)
Commentationes Mathematicae Universitatis Carolinae
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Existence of multiple principal eigenvalues for some indefinite linear eigenvalue problems
J. Fleckinger, J. Hernández, F. Thélin (2004)
Bollettino dell'Unione Matematica Italiana
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We study the existence of principal eigenvalues for differential operators of second order which are not necessarily in divergence form. We obtain results concerning multiplicity of principal eigenvalues in both the variational and the general case. Our approach uses systematically the Krein-Rutman theorem and fixed point arguments for the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case.
On the existence of multiple principal eigenvalues for some indefinite linear eigenvalue problems.
Jacqueline Fleckinger, Jesús Hernández, François De Thélin (2003)
RACSAM
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We study the existence of principal eigenvalues for differential operators of second order which are not necessarily in divergence form. We obtain results concerning multiplicity of principal eigenvalues in both the variational and the general case. Our approach uses systematically the Krein-Rutman theorem and fixed point arguments for the inverse of the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case. ...
Lower eigenvalue estimates for Dirac operators.
Christian Bär (1992)
Mathematische Annalen
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