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Generalized complementing maps

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2004

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Complutense
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In this paper we apply the generalized degree introduced by Geba, Massabo and Vignoli, in [3], to extend the notion of complementing maps defined by Fitzpatrick, Massabo and Pejsachowicz, in [1] and [2]. On the other hand, we obtain, in low dimension, a bifurcation result in terms of the linking number of some 1-dimensional manifolds. We also present a global theorem that improves a Rabinowitz’s type result contained in [3] concerning the generalized degree.

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