English

On the p-Laplacian Lichnerowicz equation on compact Riemannian manifolds

Analysis of PDEs 2020-04-24 v1

Abstract

In this paper, we deal with a singular quasilinear critical elliptic equation of Lichnerowicz type involving the p-Laplacian operator. With the help of the subcritical approach from variational method, we obtain the non-existence, existence, and multiplicity results under some given assumptions.

Keywords

Cite

@article{arxiv.2004.10779,
  title  = {On the p-Laplacian Lichnerowicz equation on compact Riemannian manifolds},
  author = {Nanbo Chen and Xiaochun Liu},
  journal= {arXiv preprint arXiv:2004.10779},
  year   = {2020}
}

Comments

32 pages,2 figures. It has been accepted for publication in SCIENCE CHINA Mathematics