English

Multiplicity of solutions to a nonlinear elliptic problem on a Riemannian orbifold

Analysis of PDEs 2023-09-27 v1 Differential Geometry

Abstract

We employ the photography method to obtain a lower bound for the number of solutions to a nonlinear elliptic problem on a Riemannian orbifold in function of the Lusternik--Schnirelmann category of its submanifold of points with largest local group.

Keywords

Cite

@article{arxiv.2302.05147,
  title  = {Multiplicity of solutions to a nonlinear elliptic problem on a Riemannian orbifold},
  author = {Gustavo de Paula Ramos},
  journal= {arXiv preprint arXiv:2302.05147},
  year   = {2023}
}

Comments

23 pages; comments are welcome