Some critical point results for Fr\'{e}chet manifolds
Differential Geometry
2022-07-20 v1
Abstract
We prove a so-called linking theorem and some of its corollaries, namely a mountain pass theorem and a three critical points theorem for Keller -functional on - Frechet manifolds. Our approach relies on a deformation result which is not implemented by considering the negative pseudo-gradient flows. Furthermore, for mappings between Frechet manifolds we provide a set of sufficient conditions in terms of the Palais-Smale condition that indicates when a local diffeomorphism is a global one.
Keywords
Cite
@article{arxiv.2205.01359,
title = {Some critical point results for Fr\'{e}chet manifolds},
author = {Kaveh Eftekharinasab},
journal= {arXiv preprint arXiv:2205.01359},
year = {2022}
}