On positive solutions of some periodic parabolic eigenvalue problem with a weight function
T. Godoy, A. Guerin, S. Paczka (1999)
Rendiconti del Seminario Matematico della Università di Padova
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T. Godoy, A. Guerin, S. Paczka (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Abstract and Applied Analysis
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Boundary Value Problems [electronic only]
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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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.
O. A. Olejnik (1989)
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