On the spectrum of singularly perturbed operators
O. A. Olejnik (1989)
Journées équations aux dérivées partielles
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Displaying similar documents to “Some Estimations of Positive and Negative Eigenvalues for an Inhomogeneous Membrane”
On the spectrum of singularly perturbed operators
A method of BAZLEY-FOX type for the eingenvalues of the LAPLACE operator
W. Weinelt (1974)
Acta Universitatis Carolinae. Mathematica et Physica
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On some properties of eigenvalues and eigenfunctions of certain differential equations of the fourth order
Jan Bochenek (1971)
Annales Polonici Mathematici
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Note on a paper of E. M. E. Zayed and S. F. M. Ibraham.
Eberhard, W., Freiling, G., Schneider, A. (1992)
International Journal of Mathematics and Mathematical Sciences
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On the Approximative Construction of the Eigenvectors Corresponding to a Pair of Complex Conjugated Eigenvalues
Ivo Marek (1964)
Matematicko-fyzikálny časopis
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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.