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arXiv · 1504.03346

Towards a Morse theory on Banach spaces via ultrafunctions

Vieri Benci·Isaia Nisoli
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Abstract

Morse Theory on Banach spaces would be a useful tool in nonlinear analysis but its development is hindered by many technical problems. In this paper we present an approach based on a new notion of generalized functions called \textquotedblleft ultrafunctions\textquotedblright\ which solves some of the technical questions involved.

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Vieri Benci, Isaia Nisoli. 2015-04-02. Towards a Morse theory on Banach spaces via ultrafunctions. https://arxiv.org/abs/1504.03346

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