Geodesic
The degree of a~quasi-ruled mapping and a~nonlinear Hilbert problem
Sbornik. Mathematics, Tome 18 (1972) no. 3, pp. 373-396

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In this paper we present the theory of the degree of a mapping for a class, containing nonlinear (pseudo) differential operators, of nonlinear mappings in Banach spaces. This theory is applied to prove the existence of solutions to nonlinear boundary value problems in the theory of analytic functions, under some purely topological hypotheses. Bibliography: 11 titles. 
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     author = {A. I. Shnirel'man},
     title = {The degree of a~quasi-ruled mapping and a~nonlinear {Hilbert} problem},
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A. I. Shnirel'man. The degree of a~quasi-ruled mapping and a~nonlinear Hilbert problem. Sbornik. Mathematics, Tome 18 (1972) no. 3, pp. 373-396. http://geodesic.mathdoc.fr/item/SM_1972_18_3_a1/