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Abstract:

In this work we study the sequence of variational eigenvalues of a system of resonant type involving p- and q-Laplacians on Ω⊂RN, with a coupling term depending on two parameters α and β satisfying α/p+β/q=1. We show that the order of growth of the kth eigenvalue depends on α+β, λk=O(kα+βN) copy; 2010 Elsevier Inc.

Registro:

Documento: Artículo
Título:Precise asymptotic of eigenvalues of resonant quasilinear systems
Autor:Bonder, J.F.; Pinasco, J.P.
Filiación:Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I (1428) Buenos Aires, Argentina
Palabras clave:Eigenvalue bounds; Elliptic system; P-Laplace
Año:2010
Volumen:249
Número:1
Página de inicio:136
Página de fin:150
DOI: http://dx.doi.org/10.1016/j.jde.2010.03.017
Título revista:Journal of Differential Equations
Título revista abreviado:J. Differ. Equ.
ISSN:00220396
CODEN:JDEQA
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00220396_v249_n1_p136_Bonder.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v249_n1_p136_Bonder

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Citas:

---------- APA ----------
Bonder, J.F. & Pinasco, J.P. (2010) . Precise asymptotic of eigenvalues of resonant quasilinear systems. Journal of Differential Equations, 249(1), 136-150.
http://dx.doi.org/10.1016/j.jde.2010.03.017
---------- CHICAGO ----------
Bonder, J.F., Pinasco, J.P. "Precise asymptotic of eigenvalues of resonant quasilinear systems" . Journal of Differential Equations 249, no. 1 (2010) : 136-150.
http://dx.doi.org/10.1016/j.jde.2010.03.017
---------- MLA ----------
Bonder, J.F., Pinasco, J.P. "Precise asymptotic of eigenvalues of resonant quasilinear systems" . Journal of Differential Equations, vol. 249, no. 1, 2010, pp. 136-150.
http://dx.doi.org/10.1016/j.jde.2010.03.017
---------- VANCOUVER ----------
Bonder, J.F., Pinasco, J.P. Precise asymptotic of eigenvalues of resonant quasilinear systems. J. Differ. Equ. 2010;249(1):136-150.
http://dx.doi.org/10.1016/j.jde.2010.03.017