Positive Operators and Elliptic Eigenvalue Problems.
Roger D. Nussbaum (1984)
Mathematische Zeitschrift
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Displaying similar documents to “On the Principal Eigenvalue of a Second Order Linear Elliptic Problem with an Indefinite Weight Function.”
Positive Operators and Elliptic Eigenvalue Problems.
On the Relative Completeness of the Generalized Eigenvectors of Elliptic Eigenvalue Problems with Indefinite Weight Functions.
Peter Hess (1985)
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On the Principal Eigenvalues of Indefinite Elliptic Problems.
W. Allegretto (1987)
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On Green's Function and Eigenvalues of Nonuniformly Elliptic Boundary Value Problems.
C.V. Coffman, M.M. Marcus, V.J. Mizel (1983)
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On some linear eigenvalue problems for strongly elliptic systems with an indefinite weight matrix function
Jan Bochenek (1989)
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On the First Eigenvalue of Non-Uniformly Elliptic Boundary Value Problems.
Neil S. Trudinger (1980)
Mathematische Zeitschrift
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On an estimate for the principal eigenvalue of a linear elliptic problem
Gossez, Jean-Pierre, Lami Dozo, Enrique (1982)
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On semilinear elliptic eigenvalue problem with eigenparameter in the boundary conditions.
Ibrahim, S. F. M. (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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A Note on Eigenvalue Problems with Eigenvalue Parameter in the Boundary Conditions.
Albert Schneider (1974)
Mathematische Zeitschrift
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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 some problems in the theory of eigenvalues and eigenfunctions associated with linear elliptic partial differential equations of the second order
Jan Bochenek (1965)
Annales Polonici Mathematici
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The Asymptotic Behaviour of the First Eigenvalue of Linear Second-Order Elliptic Equations in Divergente Form
Fabricant, Alexander, Kutev, Nikolai, Rangelov, Tsviatko (2007)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 35J70, 35P15. The asymptotic of the first eigenvalue for linear second order elliptic equations in divergence form with large drift is studied. A necessary and a sufficient condition for the maximum possible rate of the first eigenvalue is proved.