| Autor: |
Eftekharinasab, Kaveh |
| Rok vydání: |
2019 |
| Předmět: |
|
| Zdroj: |
Nonlinear Oscillations, Vol. 22, no.1 (2019) 1-13 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s10958-020-04802-4 |
| Popis: |
We give sufficient conditions for a $ C^1_c $-local diffeomorphism between Fr\'{e}chet spaces to be a global one. We extend the Clarke's theory of generalized gradients to the more general setting of Fr\'{e}chet spaces. As a consequence, we define the Chang Palais-Smale condition for Lipschitz functions and show that a function which is bounded below and satisfies the Chang Palais-Smale condition at all levels is coercive. We prove a version of the mountain pass theorem for Lipschitz maps in the Fr\'{e}chet setting and show that along with the Chang Palais-Smale condition we can obtain a global diffeomorphism theorem. |
| Databáze: |
arXiv |
| Externí odkaz: |
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