Artículo
Castro, M.J.; Pinasco, J.P. "An inequality for eigenvalues of quasilinear problems with monotonic weights" (2010) Applied Mathematics Letters. 23(11):1355-1360
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Abstract:
In this work we extend an inequality of Nehari to the eigenvalues of weighted quasilinear problems involving the p-Laplacian when the weight is a monotonic function. We apply it to different eigenvalue problems. © 2010 Elsevier Ltd. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | An inequality for eigenvalues of quasilinear problems with monotonic weights |
| Autor: | Castro, M.J.; Pinasco, J.P. |
| Filiación: | Departamento de Fisicomatemática, FFyB - Universidad de Buenos Aires, Junin 954 (C1113AAD) Buenos Aires, Argentina Departamento de Matemática, FCEyN - Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I (1428) Buenos Aires, Argentina |
| Palabras clave: | Inequalities; Lower bound of eigenvalues; p-Laplacian; Eigenvalue problem; Eigenvalues; Inequalities; Lower bounds; Monotonic functions; P-Laplacian; Quasilinear problems; Laplace transforms; Eigenvalues and eigenfunctions |
| Año: | 2010 |
| Volumen: | 23 |
| Número: | 11 |
| Página de inicio: | 1355 |
| Página de fin: | 1360 |
| DOI: | http://dx.doi.org/10.1016/j.aml.2010.06.031 |
| Título revista: | Applied Mathematics Letters |
| Título revista abreviado: | Appl Math Lett |
| ISSN: | 08939659 |
| CODEN: | AMLEE |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_08939659_v23_n11_p1355_Castro.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v23_n11_p1355_Castro |
Referencias:
- Del Pino, M., Drbek, P., Mansevich, R., The Fredholm alternative at the first eigenvalue for the one-dimensional p-Laplacian (1999) J. Differential Equations, 151, pp. 386-419
- Kusano, T., Naito, M., On the number of zeros of nonoscillatory solutions to half-linear ordinary differential equations involving a parameter (2002) Trans. Amer. Math. Soc., 354, pp. 4751-4767
- Nehari, Z., Some eigenvalue estimates (1959) J. Anal. Math., 7, pp. 79-88
- Garca Azorero, J., Peral Alonso, I., Existence and nonuniqueness for the p-Laplacian: Nonlinear eigenvalues (1987) Comm. Partial Differential Equations, 12, pp. 1389-1430
- De Napoli, P., Pinasco, J.P., A Lyapunov inequality for monotone quasilinear operators (2005) Differential Integral Equations, 18, pp. 1193-1200
- Lee, C.-F., Yeh, C.-C., Hong, C.-H., Agarwal, R.P., Lyapunov and Wirtinger inequalities (2004) Appl. Math. Lett., 17 (7), pp. 847-853
- Pinasco, J.P., Lower bounds for eigenvalues of the one-dimensional p-Laplacian (2004) Abstr. Appl. Anal., 2004, pp. 147-153
- Sim, I., Lee, Y.-H., Lyapunov inequalities for one-dimensional p-Laplacian problems with a singular weight function (2010) J. Inequal. Appl., 2010, pp. 1-9
- Tiryaki, A., Unal, M., Cakmak, D., Lyapunov-type inequalities for nonlinear systems (2007) J. Math. Anal. Appl., 332, pp. 497-511
- Hille, E., An application of Prufer's method to a singular boundary value problem (1959) Math. Z., pp. 95-106
- Pinasco, J.P., The distribution of non-principal eigenvalues of singular second order linear ordinary differential equations (2006) Int. J. Math. Math. Sci., 2006, pp. 1-7
Citas:
---------- APA ----------
Castro, M.J. & Pinasco, J.P. (2010) . An inequality for eigenvalues of quasilinear problems with monotonic weights. Applied Mathematics Letters, 23(11), 1355-1360.http://dx.doi.org/10.1016/j.aml.2010.06.031
---------- CHICAGO ----------
Castro, M.J., Pinasco, J.P. "An inequality for eigenvalues of quasilinear problems with monotonic weights" . Applied Mathematics Letters 23, no. 11 (2010) : 1355-1360.http://dx.doi.org/10.1016/j.aml.2010.06.031
---------- MLA ----------
Castro, M.J., Pinasco, J.P. "An inequality for eigenvalues of quasilinear problems with monotonic weights" . Applied Mathematics Letters, vol. 23, no. 11, 2010, pp. 1355-1360.http://dx.doi.org/10.1016/j.aml.2010.06.031
---------- VANCOUVER ----------
Castro, M.J., Pinasco, J.P. An inequality for eigenvalues of quasilinear problems with monotonic weights. Appl Math Lett. 2010;23(11):1355-1360.http://dx.doi.org/10.1016/j.aml.2010.06.031
