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00925njm 22002777a 4500 dc Criado-Aldeanueva, Francisco author Odishelidze, N. author Sánchez-Sáez, José María author Khachidze, M. author 2023-12-21 This paper offers a number of examples showing that in the case of two independent variables the uniform ellipticity of a linear system of differential equations with partial derivatives of the second order, which fulfills condition (3), do not always cause the normal solvability of formulated exterior elliptic problems in the sense of Noether. Nevertheless, from the system of differential equations with partial derivatives of elliptic type it is possible to choose, under certain additional conditions, classes which are normally solvable in the sense of Noether. This paper also shows that for the so-called decomposed system of differential equations, with partial derivatives of an elliptic type in the case of exterior regions, the Noether theorems are valid. Criado-Aldeanueva, F., Odishelidze, N., Sanchez, J.M. et al. Exterior Boundary-Value Poincaré Problem for Elliptic Systems of the Second Order with Two Independent Variables. Acta Appl Math 189, 1 (2024). https://doi.org/10.1007/s10440-023-00629-8 https://hdl.handle.net/10630/28945 10.1007/s10440-023-00629-8 Ecuaciones integrales Matemáticas Exterior boundary-value poincaré problem for elliptic systems of the second order with two independent variables