A degree associated to linear eigenvalue problems in Hilbert spaces and applications to nonlinear spectral theory

DOI10.1007/s10884-020-09921-9OpenAlexW3119459262WikidataQ115383331 ScholiaQ115383331MaRDI QIDQ2116458

Maria Patrizia Pera, Massimo Furi, Alessandro Calamai, Pierluigi Benevieri

Publication date: 17 March 2022

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.15539

zbMATH Keywords

eigenvaluesbifurcationeigenvectorsdifferential equationstopological degreenonlinear spectral theory

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Degree theory for nonlinear operators (47H11) Degree, winding number (55M25) Eigenvalue problems for linear operators (47A75) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

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An infinite dimensional version of the intermediate value theorem

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