Conditions for having a diffeomorphism between two Banach spaces
Department of Mathematics - Texas State University
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.
Global diffeomorphism, local diffeomorphism, mountain pass lemma
Electronic Journal of Differential Equations, Vol. 2014 (2014), No. 99, pp. 1-6.