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https://er.nau.edu.ua/handle/NAU/58124| Title: | Lusternik-Schnirelmann Type Theorem for C1-Frechet Manifolds |
| Authors: | Еftekharinasab, Kaveh Lastivka, Ivan |
| Keywords: | Lusternik-Schnirelmann theorem deformation Lemma Fr echet Finsler manifolds variational problems |
| Issue Date: | 2021 |
| Publisher: | Informatics Publishing Limited, The Indian Mathematical Society |
| Citation: | Еftekharinasab K. A Lusternik-Schnirelmann Type Theorem for C1-Frechet Manifolds / K. Еftekharinasab, I. Lastivka // Journal of the Indian Mathematical Society, Vol. 88, No. 3 (2021). Р. 309 – 322. |
| Series/Report no.: | The Journal of the Indian Mathematical Society;Vol. 88, No. 3 |
| Abstract: | We prove a Lusternik-Schnirelmann type theorem for a C1-function φ : M → R, where M is a connected in nite dimensional Frechet manifold of class C1. To this end, in this context we prove the so-called Deformation Lemma and by using it we derive the result generalizing the Minimax Principle |
| Description: | The edition materials are posted in Scopus |
| URI: | https://er.nau.edu.ua/handle/NAU/58124 |
| ISSN: | 0019-5839 2455-6475 |
| DOI: | 10.18311/jims/2021/27836 |
| Appears in Collections: | Наукові статті кафедри вищої математики |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| стаття.pdf | Стаття | 298.82 kB | Adobe PDF | View/Open |
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