The Singular Set of Solutions to Non-Differentiable Elliptic Systems
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- Mingione, G. Arch. Rational Mech. Anal. (2003) 166: 287. doi:10.1007/s00205-002-0231-8
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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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