On the spectrum of singularly perturbed operators
O. A. Olejnik (1989)
Journées équations aux dérivées partielles
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O. A. Olejnik (1989)
Journées équations aux dérivées partielles
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Pushnitski, Alexander, Rozenblum, Grigori (2007)
Documenta Mathematica
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Milutin Dostanić (1996)
Matematički Vesnik
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W. Weinelt (1974)
Acta Universitatis Carolinae. Mathematica et Physica
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Damian Wiśniewski, Mariusz Bodzioch (2016)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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We consider the eigenvalue problem for the p(x)-Laplace-Beltrami operator on the unit sphere. We prove same integro-differential inequalities related to the smallest positive eigenvalue of this problem.
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.
V. Ivrii (1990-1991)
Séminaire Équations aux dérivées partielles (Polytechnique)
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