Abstract
We estimate the Hausdorff dimension of the singular set of solutions to elliptic systems of the type
If the vector fields a and b are Hölder continuous with respect to the variable x with exponent α, then the Hausdorff dimension of the singular set of any weak solution is at most n−2α.
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(Accepted July 25, 2002) Published online December 6, 2002
Communicated by L. C. Evans
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Mingione, G. The Singular Set of Solutions to Non-Differentiable Elliptic Systems. Arch. Rational Mech. Anal. 166, 287–301 (2003). https://doi.org/10.1007/s00205-002-0231-8
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DOI: https://doi.org/10.1007/s00205-002-0231-8