Towards a Morse theory on Banach spaces via ultrafunctions

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 “ultrafunctions” which solves some of the technical questions involved....

Full description

Bibliographic Details
Main Authors: Vieri Benci, Isaia Nisoli
Format: Article
Language:English
Published: Emerald Publishing 2015-07-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516615000183