Conditions for having a diffeomorphism between two Banach spaces

Ładowanie...
Miniatura

Data

2014

Tytuł czasopisma

ISSN czasopisma

Tytuł tomu

Wydawca

Department of Mathematics - Texas State University

Abstrakt

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.

Opis

Słowa kluczowe

Global diffeomorphism, local diffeomorphism, mountain pass lemma

Cytowanie

Electronic Journal of Differential Equations, Vol. 2014 (2014), No. 99, pp. 1-6.