A Lusternik-Schnirelmann Type Theorem for C<sup>1</sup>-Frechet Manifolds
نویسندگان
چکیده
We prove a Lusternik-Schnirelmann type theorem for <em>C</em><sup>1</sup>- function φ : M → R, where is connected infinite dimensional Frechet manifold of class <em>C</em><sup>1</sup>. To this end, in context we the so-called Deformation Lemma and by using it derive result generalizing Minimax Principle.
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ژورنال
عنوان ژورنال: Journal of the Indian Mathematical Society
سال: 2021
ISSN: ['0019-5839', '2455-6475']
DOI: https://doi.org/10.18311/jims/2021/27836