Geodesic
Conditions for having a diffeomorphism between two Banach spaces
Electronic Journal of Differential Equations, Tome 2014 (2014).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 57R50, 58E05
Keywords: global diffeomorphism, local diffeomorphism, mountain pass lemma 
@article{EJDE_2014__2014__a4,
     author = {Galewski, Marek and Galewska, Elzbieta and Schmeidel, Ewa},
     title = {Conditions for having a diffeomorphism between two {Banach} spaces},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a4/}
}
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Galewski, Marek; Galewska, Elzbieta; Schmeidel, Ewa. Conditions for having a diffeomorphism between two Banach spaces. Electronic Journal of Differential Equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a4/