Abstract
We construct a singular minimizing map u from \({\mathbb{R}^{3}}\) to \({\mathbb{R}^{2}}\) of a smooth uniformly convex functional of the form \({\int_{B_1} F(D{\bf u})\,dx}\).
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Mooney, C., Savin, O. Some Singular Minimizers in Low Dimensions in the Calculus of Variations. Arch Rational Mech Anal 221, 1–22 (2016). https://doi.org/10.1007/s00205-015-0955-x
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DOI: https://doi.org/10.1007/s00205-015-0955-x