Abstract
For traces of generalized solutions of elliptic systems on smooth manifolds, we study the dependence of the Hausdorff dimension of the set of points at which a solution is not smooth on the modulus of ellipticity of a system.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 11, pp. 1495–1502, November, 1993.
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Kalita, E.A. Partial regularity of traces of solutions of higher-order nonlinear elliptic systems. Ukr Math J 45, 1681–1689 (1993). https://doi.org/10.1007/BF01060858
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DOI: https://doi.org/10.1007/BF01060858