Oriented degree of Fredholm maps: finite-dimensional reduction method

V. G. Zvyagin ; N. M. Ratiner

Contemporary Mathematics. Fundamental Directions, Functional analysis, Tome 44 (2012), pp. 3-171.

Résumé

The complete oriented degree theory for proper nonlinear Fredholm zero-index maps and their compact perturbations is constructed by means of a finite-dimensional reduction method. Applications to solvability and bifurcations of boundary-value problems for nonlinear elliptic equations are provided.

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