Abstract
The singular set of any Lipschitzian minimizer of a general quasiconvex functional is uniformly porous and hence its Hausdorff dimension is strictly smaller than the space dimension
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Kristensen, J., Mingione, G. The Singular Set of Lipschitzian Minima of Multiple Integrals. Arch Rational Mech Anal 184, 341–369 (2007). https://doi.org/10.1007/s00205-006-0036-2
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DOI: https://doi.org/10.1007/s00205-006-0036-2