RT Journal Article T1 Exterior boundary-value poincaré problem for elliptic systems of the second order with two independent variables A1 Criado-Aldeanueva, Francisco A1 Odishelidze, N. A1 Sánchez-Sáez, José María A1 Khachidze, M. K1 Ecuaciones integrales K1 Matemáticas AB 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. PB Springer Nature YR 2023 FD 2023-12-21 LK https://hdl.handle.net/10630/28945 UL https://hdl.handle.net/10630/28945 LA eng NO 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 NO Funding for open access charge: Universidad Málaga/CBUA. DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 20 ene 2026