, Volume 166, Issue 4, pp 287-301

The Singular Set of Solutions to Non-Differentiable Elliptic Systems

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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.

(Accepted July 25, 2002) Published online December 6, 2002
Communicated by L. C. Evans