Electronic Resource
Springer
Bulletin of the Brazilian Mathematical Society
29 (1998), S. 301-327
ISSN:
1678-7714
Keywords:
Rolle's theorem
;
minimax methods
;
global injectivity
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract This paper deals with global injectivity of vector fields defined on euclidean spaces. Our main result establishes a version of Rolle's Theorem under generalized Palais-Smale conditions. As a consequence of this, we prove global injectivity for a class of vector fields defined on n-dimensional spaces.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01237653
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