Conditions for having a diffeomorphism between two Banach spaces

We provide sufficient conditions for a mapping acting between two Banach spaces to be a diffeomorphism. Standart arguments allow us to obtain a local diffeomorphism. It is proved to be global using mountain pass geometry.

Bibliographic Details
Main Authors: Marek Galewski, Elzbieta Galewska, Ewa Schmeidel
Format: Article
Language:English
Published: Texas State University 2014-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/99/abstr.html