Estimates for eigenvalues of quasilinear elliptic systems. Part II

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 e...

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Detalles Bibliográficos
Autores principales: Fernández Bonder, J., Pinasco, J.P.
Formato: INPR
Lenguaje:English
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00220396_v_n_p_FernandezBonder
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Sumario: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.