Displaying similar documents to “Eigenvalues of the p -Laplacian and disconjugacy criteria.”

On certain singular third order eigenvalue problem

Michal Greguš, Michal Greguš, Jr. (2003)

Archivum Mathematicum

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In this paper a singular third order eigenvalue problem is studied. The results of the paper complete the results given in the papers [3], [5].

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.