Singular points of solutions of some elliptic systems on the plane

In the present paper, the structure of solutions of some important classes of singular elliptic systems on the plane are investigated. In particular, it is proved that the solutions of such systems have in principle nonanalytic behavior in the neighborhood of fixed singular points. These results make it possible to state correctly the boundary value problems and give their complete analysis. Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 59, Algebra and Geometry, 2008.