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Partial regularity of traces of solutions of higher-order nonlinear elliptic systems

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Ukrainian Mathematical Journal Aims and scope

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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References

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    E. A. Kalita

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  1. E. A. Kalita
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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

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