In this paper we find explicit lower bounds for Dirichlet eigenvalues of a weighted quasilinear elliptic system of resonant type in terms of the eigenvalues of a single p-Laplace equation. Also we obtain asymptotic bounds by studying the spectral counting function which is defined as the number of eigenvalues smaller than a given value. © 2008 Elsevier Inc. All rights reserved.
Documento: | Artículo |
Título: | Estimates for eigenvalues of quasilinear elliptic systems. Part II |
Autor: | Fernández Bonder, J.; Pinasco, J.P. |
Filiación: | FCEyN, Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.M. Gutierrez 1150, Los Polvorines, 1613 Buenos Aires, Argentina |
Idioma: | Inglés |
Palabras clave: | Eigenvalue bounds; Elliptic system; p-laplacian |
DOI: | http://dx.doi.org/10.1016/j.jde.2008.04.019 |
Título revista: | Journal of Differential Equations |
Título revista abreviado: | J. Differ. Equ. |
ISSN: | 00220396 |
CODEN: | JDEQA |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v_n_p_FernandezBonder |