Injectivity of mappings and solvability for partial differentiable operators
Existence of periodic solutions for first-order partial differential equations
Semiglobal solvability for classes of non singular vector fields
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil
[2] Univ Fed Pernambuco, Dept Matemat, BR-50740540 Recife, PE - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Anais da Academia Brasileira de Ciências; v. 82, n. 3, p. 555-559, SEP 2010. |
| Web of Science Citations: | 1 |
| Abstract | |
We establish a sufficient condition for injectivity in a class of mappings defined on open connected subsets of Rn , for arbitrary n. The result relates solvability of the appropriate vector fields with injectivity of the mapping and extends a result proved by the first author for n < 3 . Furthermore, we extend the result to connected paracompact smooth oriented manifolds and show that the convexity condition imposes strong topological restrictions on the manifold. (AU) | |
| FAPESP's process: | 07/08231-0 - Geometric theory of PDE and several complex variables |
| Grantee: | Jorge Guillermo Hounie |
| Support Opportunities: | Research Projects - Thematic Grants |