Lusternik-Schnirelmann Type Theorem for C1-Frechet Manifolds
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Date
2021
Authors
Еftekharinasab, Kaveh
Lastivka, Ivan
Journal Title
Journal ISSN
Volume Title
Publisher
Informatics Publishing Limited, The Indian Mathematical Society
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
Keywords
Lusternik-Schnirelmann theorem, deformation Lemma, Fr echet Finsler manifolds, variational problems
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.