English

Chern-Simons Higgs models for p-Laplacian on finite graphs: a topological degree approach

Analysis of PDEs 2025-12-01 v1

Abstract

We investigate the Chern-Simons Higgs models for p-Laplacian on a connected finite graph, employing topological degree theory as our main tool. Notably, we overcome the difficulties arising from the nonlinearity of p-Laplacian operator and calculate the corresponding topological degree through a more general approach.

Keywords

Cite

@article{arxiv.2511.22097,
  title  = {Chern-Simons Higgs models for p-Laplacian on finite graphs: a topological degree approach},
  author = {Chunlian Liu and Yating Ge and Linfeng Wang},
  journal= {arXiv preprint arXiv:2511.22097},
  year   = {2025}
}