Existence of a principal eigenvalue for the Tricomi problem.
Lupo, Daniela, Payne, Kevin R. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “When is the first eigenfunction for the clamped plate equation of fixed sign?”
Existence of a principal eigenvalue for the Tricomi problem.
Asymptotics of the first nodal line
Daniel Grieser, David Jerison (1995)
Journées équations aux dérivées partielles
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The Lazer-McKenna conjecture for radial solutions in the ball.
Castro, Alfonso, Gadam, Sudhasree (1993)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Computing guided modes for an unbounded stratified medium in integrated optics
Fabrice Mahé (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We present a finite element method to compute guided modes in a stratified medium. The major difficulty to overcome is related to the unboundedness of the stratified medium. Our method is an alternative to the use of artificial boundary conditions and to the use of integral representation formulae. The domain is bounded in such a way we can write the solution on its lateral boundaries in terms of Fourier series. The series is then truncated for the computations over the bounded domain....
Eigenvalue computations for regular matrix Sturm-Liouville problems.
Dwyer, H.I., Zettl, A. (1995)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Antimaximum principle for elliptic problems with weight.
Godoy, T., Gossez, J.-P., Paczka, S. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Fundamental tones and buckling loads of clamped plates
Mark S. Ashbaugh, Richard S. Laugesen (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.