Towards a Morse theory on Banach spaces via ultrafunctions

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.

arXiv comment17 pages. arXiv admin note: text overlap with arXiv:1406.4349, arXiv:1302.7156, arXiv:1405.4152