English

Multiplicity Theorems for Frechet Manifolds

Differential Geometry 2022-10-18 v1

Abstract

We prove multiplicity theorems for Keller Cc1 C_c^1 -functionals on Frechet spaces and Finsler manifolds which are invariant under the action of a discrete subgroup. For such functionals, we evaluate the minimal number of critical points by applying the Lusternik-Schnirelmann category.

Keywords

Cite

@article{arxiv.2210.09270,
  title  = {Multiplicity Theorems for Frechet Manifolds},
  author = {Kaveh Eftekharinasab},
  journal= {arXiv preprint arXiv:2210.09270},
  year   = {2022}
}

Comments

To appear in Reports of the National Academy of Sciences of Ukraine. arXiv admin note: text overlap with arXiv:2205.01359

R2 v1 2026-06-28T03:50:34.441Z