On Solutions to the Schwarz Problem in a Disk in the Three-Dimensional Case

We consider the Schwarz problem for first order elliptic systems in the plane. We obtain the conditions on three– and two-dimensional matrices J admitting nondiagonal Jordan form under which a solution to the Schwarz problem in an arbitrary disk exists and is unique in Hölder classes. We describe an algorithm for constructing the solution. Bibliography: 5 titles.

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Correspondence to V. G. Nikolaev.

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Translated from Problemy Matematicheskogo Analiza 90, January 2018, pp. 63-72.

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Nikolaev, V.G. On Solutions to the Schwarz Problem in a Disk in the Three-Dimensional Case. J Math Sci 228, 672–683 (2018). https://doi.org/10.1007/s10958-017-3655-2

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