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Regularity of a boundary point for quasilinear elliptic systems of the second order

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Abstract

There is considered a quasilinear elliptic system of the divergence type. There are obtained continuity conditions for a general solution and its gradient at a boundary point. These conditions depend on the geometry of the domain and also on the sparseness of eigenvalues of the coefficient matrix of the system.

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Literature cited

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 5, pp. 590–596, May, 1991.

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Kalita, E.A. Regularity of a boundary point for quasilinear elliptic systems of the second order. Ukr Math J 43, 546–551 (1991). https://doi.org/10.1007/BF01058538

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  • DOI: https://doi.org/10.1007/BF01058538

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