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Estimates for eigenvalues of quasilinear elliptic systems. Part II |
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| Authors: | Juliá n Ferná ndez Bonder,Juan P. Pinasco |
| Affiliation: | a FCEyN, Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina b Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.M. Gutierrez 1150, Los Polvorines, 1613 Buenos Aires, Argentina |
| Abstract: | 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. |
| Keywords: | 34L30 35P30 34L15 35P15 |
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