Marek Galewski, Elzbieta Galewska, Ewa Schmeidel
Abstract:
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.
Submitted February 19, 2014. Published April 11, 2014.
Math Subject Classifications: 57R50, 58E05.
Key Words: Global diffeomorphism; local diffeomorphism; mountain pass lemma.
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Marek Galewski Institute of Mathematics, Lodz University of Technology Wolczanska 215, 90--924 Lodz, Poland email: marek.galewski@p.lodz.pl |
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| Elzbieta Galewska Centre of Mathematics and Physics, Lodz University of Technology al. Politechniki 11, 90--924 Lodz, Poland email: elzbieta.galewska@p.lodz.pl | |
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Ewa Schmeidel Faculty of Mathematics and Computer Science University of Bialystok Akademicka 2, 15--267 Bialystok, Poland email: eschmeidel@math.uwb.edu.pl |
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