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Lastivka, Ivan
- A Lusternik-Schnirelmann Type Theorem for C1-Frechet Manifolds
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Authors
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1 Institute of Mathematics of NAS of Ukraine, Topology Lab, Kyiv, UA
2 National Aviation University, Higher Mathematics Department, Kyiv, UA
1 Institute of Mathematics of NAS of Ukraine, Topology Lab, Kyiv, UA
2 National Aviation University, Higher Mathematics Department, Kyiv, UA
Source
The Journal of the Indian Mathematical Society, Vol 88, No 3-4 (2021), Pagination: 309–322Abstract
We prove a Lusternik-Schnirelmann type theorem for a C1- function φ : M → R, where M is a connected infinite 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.Keywords
Lusternik-Schnirelmann Theorem, Frechet Finsler Manifolds, Deformation Lemma
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