English

Isocapacitary constants associated with $p$-Laplacian on graphs

Analysis of PDEs 2025-11-07 v1 Spectral Theory

Abstract

In this paper, we introduce isocapacitary constants for the pp-Laplacian on graphs and apply them to derive estimates for the first eigenvalues of the Dirichlet pp-Laplacian, the Neumann pp-Laplacian, and the pp-Steklov problem.

Keywords

Cite

@article{arxiv.2511.04039,
  title  = {Isocapacitary constants associated with $p$-Laplacian on graphs},
  author = {Bobo Hua and Lili Wang},
  journal= {arXiv preprint arXiv:2511.04039},
  year   = {2025}
}

Comments

20 pages

R2 v1 2026-07-01T07:23:56.739Z