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Some existence results about radial graphs of constant mean curvature with boundary in parallel planes

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Abstract

In this work, for given H, we investigate the existence of radial cmc H annulus spanning two given non necessarily convex Jordan curves in parallel planes of \({\mathbb{R}^{3}}\). We established some existence results under hypotheses relating the geometry of the curves and the distance between the planes.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal de Santa Maria, Faixa do Camobi Km 9, 97105-900, Santa Maria, RS, Brasil

    Ari J. Aiolfi & Pedro Fusieger

Authors
  1. Ari J. Aiolfi
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  2. Pedro Fusieger
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Corresponding author

Correspondence to Ari J. Aiolfi.

Additional information

Ari J. Aiolfi was partially supported by Fapergs and Programa FIPE Junior/UFSM.

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Aiolfi, A.J., Fusieger, P. Some existence results about radial graphs of constant mean curvature with boundary in parallel planes. Ann Glob Anal Geom 34, 415–430 (2008). https://doi.org/10.1007/s10455-008-9119-7

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  • DOI: https://doi.org/10.1007/s10455-008-9119-7

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