Topological degree and atypical bifurcation results for a class of multivalued perturbations of Fredholm maps in Banach spaces


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	Topological degree and atypical bifurcation results for a class of multivalued perturbations of Fredholm maps in Banach spaces


	Fixed Point Theory, Volume 18, No. 1, 2017, 85-106, March 1st, 2017 DOI: 10.24193/fpt-ro.2017.1.08 Authors: Pierluigi Benevieri and Pietro Zecca Abstract: We obtain a global (atypical) bifurcation result for a semilinear inclusion problem in Banach spaces. The approach is topological, making use of a topological degree introduced by the second author for locally compact multivalued perturbations of nonlinerar Fredholm maps. We also study some specific aspects of the construction of this concept of degree. Key Words and Phrases: Topological degree, nonlinear Fredholm maps, Banach spaces, multivaued compact maps, global bifurcation. 2010 Mathematics Subject Classification: 34C23, 34A60, 47H11, 47A53, 47H14. Published on-line: March 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents