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Fernandez Bonder, J.; Pinasco, J.P.; Salort, A.M. "Eigenvalue homogenisation problem with indefinite weights" (2016) Bulletin of the Australian Mathematical Society. 93(1):113-127
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Abstract:

In this work we study the homogenisation problem for nonlinear elliptic equations involving p-Laplaciantype operators with sign-changing weights. We study the asymptotic behaviour of variational eigenvalues which consist of a double sequence of eigenvalues. We show that the kth positive eigenvalue goes to infinity when the average of the weights is nonpositive, and converges to the kth variational eigenvalue of the limit problem when the average is positive for any k ≥ 1. © 2015 Australian Mathematical Publishing Association Inc.

Registro:

Documento: Artículo
Título:Eigenvalue homogenisation problem with indefinite weights
Autor:Fernandez Bonder, J.; Pinasco, J.P.; Salort, A.M.
Filiación:Departamento de Matematica, Universidad de Buenos Aires, CONICET, Buenos Aires, Argentina
Palabras clave:eigenvalues; homogenisation; indefinite weights; p-Laplace-type problems
Año:2016
Volumen:93
Número:1
Página de inicio:113
Página de fin:127
DOI: http://dx.doi.org/10.1017/S0004972715001094
Título revista:Bulletin of the Australian Mathematical Society
Título revista abreviado:Bull. Aust. Math. Soc.
ISSN:00049727
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00049727_v93_n1_p113_FernandezBonder

Referencias:

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  • Champion, T., De Pascale, L., Asymptotic behaviour of nonlinear eigenvalue problems involving p-Laplacian-type operators (2007) Proc. Roy. Soc. Edinburgh Sect. A, 137 (6), pp. 1179-1195
  • Chiadò Piat G Dal Maso, V., Defranceschi, A., G-convergence of monotone operators (1990) Ann. Inst. H. Poincaré Anal. Non Lineaíre, 7 (3), pp. 123-160
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Citas:

---------- APA ----------
Fernandez Bonder, J., Pinasco, J.P. & Salort, A.M. (2016) . Eigenvalue homogenisation problem with indefinite weights. Bulletin of the Australian Mathematical Society, 93(1), 113-127.
http://dx.doi.org/10.1017/S0004972715001094
---------- CHICAGO ----------
Fernandez Bonder, J., Pinasco, J.P., Salort, A.M. "Eigenvalue homogenisation problem with indefinite weights" . Bulletin of the Australian Mathematical Society 93, no. 1 (2016) : 113-127.
http://dx.doi.org/10.1017/S0004972715001094
---------- MLA ----------
Fernandez Bonder, J., Pinasco, J.P., Salort, A.M. "Eigenvalue homogenisation problem with indefinite weights" . Bulletin of the Australian Mathematical Society, vol. 93, no. 1, 2016, pp. 113-127.
http://dx.doi.org/10.1017/S0004972715001094
---------- VANCOUVER ----------
Fernandez Bonder, J., Pinasco, J.P., Salort, A.M. Eigenvalue homogenisation problem with indefinite weights. Bull. Aust. Math. Soc. 2016;93(1):113-127.
http://dx.doi.org/10.1017/S0004972715001094