Abstract
The generalized Nielsen number is defined for compact admissible (multivalued) self-maps on connected ANR-spaces. This number provides a lower estimate of the number of coincidences rather than of fixed points. Nevertheless, the multiplicity results to corresponding solutions can be obtained in this way for a rather general class of multivalued boundary value problems. Two types of concrete applications are presented.
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Andres, J. (2001). Nielsen Number and Multiplicity Results for Multivalued Boundary Value Problems. In: Grossinho, M.R., Ramos, M., Rebelo, C., Sanchez, L. (eds) Nonlinear Analysis and its Applications to Differential Equations. Progress in Nonlinear Differential Equations and Their Applications, vol 43. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0191-5_9
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DOI: https://doi.org/10.1007/978-1-4612-0191-5_9
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