A lower bound for the least eigenvalue of ... + V.
Pierre Bérard (1990)
Manuscripta mathematica
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Pierre Bérard (1990)
Manuscripta mathematica
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O. A. Olejnik (1989)
Journées équations aux dérivées partielles
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Gilles Courtois, Bruno Colbois (1990)
Manuscripta mathematica
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Norman Bazley, Bruno Zwahlen (1970)
Manuscripta mathematica
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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.
Reinhard Mennicken, Mel Faierman (1991)
Manuscripta mathematica
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Brigitte Beekmann, Hermann Lökes (1990)
Manuscripta mathematica
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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.
Jan Bochenek (1980)
Annales Polonici Mathematici
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Eberhard, W., Freiling, G., Schneider, A. (1992)
International Journal of Mathematics and Mathematical Sciences
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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.
Jan Bochenek (1990)
Annales Polonici Mathematici
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