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Stability and perturbations of the domain for the first eigenvalue of the 1-Laplacian

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Abstract.

We study the dependence of the first eigenvalue of the 1-Laplacian with respect to perturbations of the domain. We provide results ranging from general type of perturbations to regular perturbations by diffeomorphisms.

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Authors and Affiliations

  1. Département de Mathématiques ,Site de Saint-Martin, Université de Cergy-Pontoise, 2 avenue Adolphe Chauvin, F-95302, Cergy-Pontoise cedex, France

    Emmanuel Hebey

  2. Département de Mathématiques, Université Pierre et Marie Curie, 4 place Jussieu, F-75252, Paris cedex 05, France

    Nicolas Saintier

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  1. Emmanuel Hebey
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  2. Nicolas Saintier
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Correspondence to Emmanuel Hebey.

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Received: 31 March 2005

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Hebey, E., Saintier, N. Stability and perturbations of the domain for the first eigenvalue of the 1-Laplacian. Arch. Math. 86, 340–351 (2006). https://doi.org/10.1007/s00013-005-1531-7

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  • DOI: https://doi.org/10.1007/s00013-005-1531-7

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