Abstract:
In this paper we introduce the generalized eigenvalues of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many continuous eigencurves, which are obtained by variational methods. For the one-dimensional problem, we obtain an hyperbolic type function defining a region which contains all the generalized eigenvalues (variational or not), and the proof is based on a suitable generalization of Lyapunov's inequality for systems of ordinary differential equations. We also obtain a family of curves bounding by above the kth variational eigencurve. © 2006 Elsevier Inc. All rights reserved.
Registro:
Documento: |
Artículo
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Título: | Estimates for eigenvalues of quasilinear elliptic systems |
Autor: | De Nápoli, P.L.; Pinasco, J.P. |
Filiación: | FCEyN, Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, Pabellon I, 1428 Buenos Aires, Argentina Instituto de Ciencias, Univ. Nac. Gral. Sarmiento, J.M. Gutierrez 1150, Los Polvorines, 1613 Buenos Aires, Argentina
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Palabras clave: | Eigenvalue bounds; Elliptic system; Lyapunov inequality; p-Laplacian |
Año: | 2006
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Volumen: | 227
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Número: | 1
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Página de inicio: | 102
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Página de fin: | 115
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DOI: |
http://dx.doi.org/10.1016/j.jde.2006.01.004 |
Título revista: | Journal of Differential Equations
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Título revista abreviado: | J. Differ. Equ.
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ISSN: | 00220396
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CODEN: | JDEQA
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PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00220396_v227_n1_p102_DeNapoli.pdf |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v227_n1_p102_DeNapoli |
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Citas:
---------- APA ----------
De Nápoli, P.L. & Pinasco, J.P.
(2006)
. Estimates for eigenvalues of quasilinear elliptic systems. Journal of Differential Equations, 227(1), 102-115.
http://dx.doi.org/10.1016/j.jde.2006.01.004---------- CHICAGO ----------
De Nápoli, P.L., Pinasco, J.P.
"Estimates for eigenvalues of quasilinear elliptic systems"
. Journal of Differential Equations 227, no. 1
(2006) : 102-115.
http://dx.doi.org/10.1016/j.jde.2006.01.004---------- MLA ----------
De Nápoli, P.L., Pinasco, J.P.
"Estimates for eigenvalues of quasilinear elliptic systems"
. Journal of Differential Equations, vol. 227, no. 1, 2006, pp. 102-115.
http://dx.doi.org/10.1016/j.jde.2006.01.004---------- VANCOUVER ----------
De Nápoli, P.L., Pinasco, J.P. Estimates for eigenvalues of quasilinear elliptic systems. J. Differ. Equ. 2006;227(1):102-115.
http://dx.doi.org/10.1016/j.jde.2006.01.004