Geodesic
A function theorety method in elliptic problems in the plane. II.~The piecewise smooth case
Izvestiya. Mathematics , Tome 40 (1993) no. 3, pp. 529-563.

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A general boundary value problem, encompassing from a unified viewpoint a broad circle of local and nonlocal boundary value problems, is studied for elliptic systems with real, constant (and only leading) matrix coefficients. A method is given for the equivalent reduction of this problem to a system of boundary equations. The considerations are carried out in domains with piecewise smooth boundaries and in weighted spaces. A Noetherian criterion and an index formula for this problem are established, and the asymptotics of its solution in a neighborhood of corner points is described. 
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A. P. Soldatov. A function theorety  method in elliptic problems in the plane. II.~The piecewise smooth case. Izvestiya. Mathematics , Tome 40 (1993) no. 3, pp. 529-563. http://geodesic.mathdoc.fr/item/IM2_1993_40_3_a3/

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