English

Multiple solutions of a nonlinear biharmonic equation on graphs

Analysis of PDEs 2022-05-17 v1

Abstract

In this paper, we consider a biharmonic equation with respect to the Dirichlet problem on a domain of a locally finite graph. Using the variation method, we prove that the equation has two distinct solutions under certain conditions.

Keywords

Cite

@article{arxiv.2205.07798,
  title  = {Multiple solutions of a nonlinear biharmonic equation on graphs},
  author = {Songbo Hou},
  journal= {arXiv preprint arXiv:2205.07798},
  year   = {2022}
}

Comments

7 pages

R2 v1 2026-06-24T11:18:50.275Z