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Asymptotic of Eigenvalues and Lattice Points

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Abstract

In this work we study the spectral counting function for the p–Laplace operator in one dimension. We show the existence of a two–term Weyl–type asymptote. The method of proof is rather elementary, based on the Dirichlet lattice points problem, which enables us to obtain similar results for domains of infinite measure.

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Authors and Affiliations

  1. Instituto de Ciencias, Universidad Nacional de General Sarmiento, , J. M. Gutierrez 1150, Los Polvorines (1613), Buenos Aires, Argentina

    Juan Pablo Pinasco

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  1. Juan Pablo Pinasco
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Correspondence to Juan Pablo Pinasco.

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Partially supported by Fundacion Antorchas and ANPCyT PICT No. 03-05009

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Pinasco, J.P. Asymptotic of Eigenvalues and Lattice Points. Acta Math Sinica 22, 1645–1650 (2006). https://doi.org/10.1007/s10114-005-0761-8

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  • DOI: https://doi.org/10.1007/s10114-005-0761-8

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