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math.FA2020
Solution branches of nonlinear eigenvalue problems on restricted domains
Shane Arora
We extend bifurcation results of nonlinear eigenvalue problems from real Banach spaces to any neighbourhood of a given point. For points of odd multiplicity on these restricted dom…
math.FA2019★ 2 cited
An alternative approach to Fréchet derivatives
Shane Arora, Hazel Browne, Daniel Daners
We discuss an alternative approach to Fréchet derivatives on Banach spaces inspired by a characterisation of derivatives due to Carathéodory. The approach allows us to reduce many…