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A Lusternik-Schnirelmann Type Theorem for C1-Frechet Manifolds
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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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