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The dirichlet energy of mappings with values into the sphere

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Abstract

We discuss the relaxed functional of the Dirichlet energy. We also prove partial regularity of minimizers and concentration of the gradient on singular lines.

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Authors and Affiliations

  1. Istituto di Matematica Applicata, Università, di Firenze, Via S. Marta, 3, 50139, Firenze, Italy

    Mariano Giaquinta & Giuseppe Modica

  2. Československá Akademie, Věd Mathematický Ústáv, Praha, ČSSR

    Jiří Souček

Authors
  1. Mariano Giaquinta
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  2. Giuseppe Modica
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  3. Jiří Souček
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Additional information

This work has been partially supported by the Ministero della Pubblica Istruzione and by the European Research project GADGET.

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Giaquinta, M., Modica, G. & Souček, J. The dirichlet energy of mappings with values into the sphere. Manuscripta Math 65, 489–507 (1989). https://doi.org/10.1007/BF01172794

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  • DOI: https://doi.org/10.1007/BF01172794

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