Artículo
Bonder, J.F.; Pablo Pinasco, J. "Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator" (2003) Arkiv for Matematik. 41(2):267-280
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Abstract:
In this paper we study the spectral counting function for the weighted p-laplacian in one dimension. First, we prove that all the eigenvalues can be obtained by a minimax characterization and then we show the existence of a Weyl-type leading term. Finally we find estimates for the remainder term.
Registro:
| Documento: | Artículo |
| Título: | Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator |
| Autor: | Bonder, J.F.; Pablo Pinasco, J. |
| Filiación: | Universidad de Buenos Aires, Pabellón I Cd. Universitaria, 1428-Buenos Aires, Argentina Universidad de San Andres, Vito Dumas 284, 1684-Prov. Buenos Aires, Argentina |
| Año: | 2003 |
| Volumen: | 41 |
| Número: | 2 |
| Página de inicio: | 267 |
| Página de fin: | 280 |
| DOI: | http://dx.doi.org/10.1007/BF02390815 |
| Título revista: | Arkiv for Matematik |
| Título revista abreviado: | Ark. Mat. |
| ISSN: | 00042080 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00042080_v41_n2_p267_Bonder |
Referencias:
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- Pinasco, J.P., (2002) Asymptotics of Eigenvalues of the p-Laplace Operator and Lattice Points, , Preprint, Universidad de Buenos Aires
- Del Pino, M., Manásevich, R., Multiple solutions for the p-Laplacian under global nonresonance (1991) Proc. Amer. Math. Soc., 112, pp. 131-138
- Rabinowitz, P., (1986) Minimax Methods in Critical Point Theory with Applications to Differential Equations, 65. , CBMS Regional Conf. Ser. Math., Amer. Math. Soc., Providence, R.I
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Citas:
---------- APA ----------
Bonder, J.F. & Pablo Pinasco, J. (2003) . Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator. Arkiv for Matematik, 41(2), 267-280.http://dx.doi.org/10.1007/BF02390815
---------- CHICAGO ----------
Bonder, J.F., Pablo Pinasco, J. "Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator" . Arkiv for Matematik 41, no. 2 (2003) : 267-280.http://dx.doi.org/10.1007/BF02390815
---------- MLA ----------
Bonder, J.F., Pablo Pinasco, J. "Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator" . Arkiv for Matematik, vol. 41, no. 2, 2003, pp. 267-280.http://dx.doi.org/10.1007/BF02390815
---------- VANCOUVER ----------
Bonder, J.F., Pablo Pinasco, J. Asymptotic behavior of the eigenvalues of the one-dimensional weighted p-Laplace operator. Ark. Mat. 2003;41(2):267-280.http://dx.doi.org/10.1007/BF02390815
