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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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