Eigenvalue for Densely Defined Perturbations of Multivalued Maximal Monotone Operators in Reflexive Banach Spaces

Boubakari Ibrahimou

Journal of Mathematics, 2013, vol. 2013, 1-6

Abstract:

Let be a real reflexive Banach space and let be its dual. Let be open and bounded such that . Let be maximal monotone with and . Using the topological degree theory developed by Kartsatos and Quarcoo we study the eigenvalue problem where the operator is a single-valued of class . The existence of continuous branches of eigenvectors of infinite length then could be easily extended to the case where the operator is multivalued and is investigated.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:301319

DOI: 10.1155/2013/301319

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