Eigenvalues of the p-Laplacian in fractal strings with indefinite weights |
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| Authors: | Juliá n Ferná ndez Bonder,Juan Pablo Pinasco |
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| Affiliation: | a Universidad de Buenos Aires, Pab. I Ciudad Universitaria (1428), Buenos Aires, Argentina
b Universidad Nacional de General Sarmiento, J.M. Gutierrez 1150, Los Polvorines, Prov. Buenos Aires, Argentina |
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| Abstract: | In this paper we study the spectral counting function of the weighted p-Laplacian in fractal strings, where the weight is allowed to change sign. We obtain error estimates related to the interior Minkowski dimension of the boundary. We also find the asymptotic behavior of eigenvalues. |
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| Keywords: | p-Laplacian Asymptotic Eigenvalues |
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