Geodesic
Conditions for having a diffeomorphism between two Banach spaces
Electronic journal of differential equations, Tome 2014 (2014)
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},
     year = {2014},
     volume = {2014},
     zbl = {1300.57031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a4/}
}
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AU  - Galewska,  Elzbieta
AU  - Schmeidel,  Ewa
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VL  - 2014
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%A Schmeidel,  Ewa
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%J Electronic journal of differential equations
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%F EJDE_2014__2014__a4
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/