Extremal values of half-eigenvalues for -Laplacian with weights in balls.
Yan, Ping (2010)
Boundary Value Problems [electronic only]
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Yan, Ping (2010)
Boundary Value Problems [electronic only]
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Lami Dozo, E., Godoy, T., Paczka, S. (2002)
Rendiconti del Seminario Matematico
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Eastham, M.S.P., Kong, Q., Wu, H., Zettl, A. (1999)
Journal of Inequalities and Applications [electronic only]
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Godoy, T., Lami Dozo, E., Paczka, S. (2002)
Abstract and Applied Analysis
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O. A. Olejnik (1989)
Journées équations aux dérivées partielles
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T. Godoy, A. Guerin, S. Paczka (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Benedikt, Jiří (2004)
Abstract and Applied Analysis
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Eberhard, W., Freiling, G., Schneider, A. (1992)
International Journal of Mathematics and Mathematical Sciences
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Jan Bochenek (1971)
Annales Polonici Mathematici
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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.