A version of Rolle's theorem and applications |
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| Authors: | Elves Alves de B e Silva Marco Antonio Teixeira |
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| Institution: | (1) Departamento de Matemática, Universidade de Brasília, 70910-900 Brasília, Brazil;(2) Departamento de Matemática-IMECC, Universidade Estadual de Campinas, 13081-970 Campinas, SP, Brazil |
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| 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.Research partially supported by CNPq/Brazil under grant # 307014/89-4Research partially supported by CNPq/Brazil under grant # 301251/78-9 |
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| Keywords: | Rolle's theorem minimax methods global injectivity |
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