In the unit disc, we consider the Dirichlet problem for second order elliptic system with only higher order constant coefficients. We establish the unique solvability of this problem under the assumption that the problem is Fredholm, and obtain an explicit formula for the solution.
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Translated from Problemy Matematicheskogo Analiza 127, 2024, pp. 131-136.
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Soldatov, A.P. Generalized Poisson Formula for Second Order Elliptic Systems. J Math Sci 281, 625–631 (2024). https://doi.org/10.1007/s10958-024-07139-4
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DOI: https://doi.org/10.1007/s10958-024-07139-4