Artículo
Pinasco, J.P. "Lower bounds for eigenvalues of the one-dimensional p-Laplacian" (2004) Abstract and Applied Analysis. 2004(2):147-153
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Abstract:
We present sharp lower bounds for eigenvalues of the one-dimensional p-Laplace operator. The method of proof is rather elementary, based on a suitable generalization of the Lyapunov inequality.
Registro:
| Documento: | Artículo |
| Título: | Lower bounds for eigenvalues of the one-dimensional p-Laplacian |
| Autor: | Pinasco, J.P. |
| Filiación: | Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina Instituto de Ciencias, Univ. Nacional de General Sarmiento, J.M. Gutierrez 1150, Los Polvorines, 1613 Buenos Aires, Argentina |
| Año: | 2004 |
| Volumen: | 2004 |
| Número: | 2 |
| Página de inicio: | 147 |
| Página de fin: | 153 |
| DOI: | http://dx.doi.org/10.1155/S108533750431002X |
| Título revista: | Abstract and Applied Analysis |
| Título revista abreviado: | Abstr. Appl. Anal. |
| ISSN: | 10853375 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10853375_v2004_n2_p147_Pinasco |
Referencias:
- Anane, A., Simplicity and isolation of the first eigenvalue of the p-Laplacian with weight (1987) C. R. Acad. Sci. Paris Sér. I Math., 305 (16), pp. 725-728. , French
- Anane, A., Moussa, M., Chakrone, O., Spectrum of one dimensional p-Laplacian operator with indefinite weight (2002) Electron. J. Qual. Theory Differ. Equ., (17), pp. 1-11
- Del Pino, M., Drábek, P., Manásevich, R., The Fredholm alternative at the first eigenvalue for the one-dimensional p-Laplacian (1998) C. R. Acad. Sci. Paris Sér. I Math., 327 (5), pp. 461-465
- Dibenedetto, E., C1+α local regularity of weak solutions of degenerate elliptic equations (1983) Nonlinear Anal., 7 (8), pp. 827-850
- Drábek, P., Manásevich, R., On the closed solution to some nonhomogeneous eigenvalue problems with p-Laplacian (1999) Differential Integral Equations, 12 (6), pp. 773-788
- Fernandez Bonder, J., Pinasco, J.P., Asymptotic behavior of the eigenvalues of the one dimensional weighted p-Laplace operator (2003) Ark. Mat., 41, pp. 267-280
- García Azorero, J., Peral Alonso, I., Asymptotic behavior of the eigenvalues of the p-Laplacian (1988) C. R. Acad. Sci. Paris Sér. I Math., 307 (2), pp. 75-78. , French
- Guedda, M., Véron, L., Bifurcation phenomena associated to the p-Laplace operator (1988) Trans. Amer. Math. Soc., 310 (1), pp. 419-431
- Krein, M.G., On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability (1955) Amer. Math. Soc. Transl. Ser., 2 (1), pp. 163-187
- Liapounoff, A., Problème Général de la Stabilité du Mouvement (1947) Annals of Mathematics Studies, (17). , Princeton University Press, New Jersey (French)
- Patula, W.T., On the distance between zeroes (1975) Proc. Amer. Math. Soc., 52, pp. 247-251
- Reid, W.T., A generalized Liapunov inequality (1973) J. Differential Equations, 13, pp. 182-196
- Walter, W., Sturm-Liouville theory for the radial δp-operator (1998) Math. Z., 227 (1), pp. 175-185
Citas:
---------- APA ----------
(2004) . Lower bounds for eigenvalues of the one-dimensional p-Laplacian. Abstract and Applied Analysis, 2004(2), 147-153.http://dx.doi.org/10.1155/S108533750431002X
---------- CHICAGO ----------
Pinasco, J.P. "Lower bounds for eigenvalues of the one-dimensional p-Laplacian" . Abstract and Applied Analysis 2004, no. 2 (2004) : 147-153.http://dx.doi.org/10.1155/S108533750431002X
---------- MLA ----------
Pinasco, J.P. "Lower bounds for eigenvalues of the one-dimensional p-Laplacian" . Abstract and Applied Analysis, vol. 2004, no. 2, 2004, pp. 147-153.http://dx.doi.org/10.1155/S108533750431002X
---------- VANCOUVER ----------
Pinasco, J.P. Lower bounds for eigenvalues of the one-dimensional p-Laplacian. Abstr. Appl. Anal. 2004;2004(2):147-153.http://dx.doi.org/10.1155/S108533750431002X
