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An estimate of the maximum of the modulus of generalized solutions of the Dirichlet problem for elliptic equations of divergent form

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Degenerate elliptic equations and anisotropic equations are considered. An estimate of the maximum of the modulus of a generalized solution of the Dirichlet problem is obtained in the domain Ω with zero on the boundary.

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 5, pp. 635–648, May, 1995.

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Kolodii, I.M. An estimate of the maximum of the modulus of generalized solutions of the Dirichlet problem for elliptic equations of divergent form. Ukr Math J 47, 733–748 (1995). https://doi.org/10.1007/BF01059047

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