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Asymptotic behavior of the eigenvalues of the p(x)-Laplacian

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Abstract

We obtain asymptotic estimates for the eigenvalues of the p(x)-Laplacian defined consistently with a homogeneous notion of first eigenvalue recently introduced in the literature.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Florida Institute of Technology, 150 W University Blvd., Melbourne, FL, 32901, USA

    Kanishka Perera

  2. Dipartimento di Informatica, Università degli Studi di Verona, Cá Vignal 2, Strada Le Grazie 15, 3713, Verona, Italy

    Marco Squassina

Authors
  1. Kanishka Perera
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  2. Marco Squassina
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Corresponding author

Correspondence to Kanishka Perera.

Additional information

M. Squassina was supported by the 2009 MIUR project: “Variational and Topological Methods in the Study of Nonlinear Phenomena”.

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Perera, K., Squassina, M. Asymptotic behavior of the eigenvalues of the p(x)-Laplacian. manuscripta math. 144, 535–544 (2014). https://doi.org/10.1007/s00229-014-0663-0

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  • DOI: https://doi.org/10.1007/s00229-014-0663-0

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