English

Approximation Theorem for Principal Eigenvalue of Discrete $\pmb p$-Laplacian

Probability 2019-03-11 v2

Abstract

For the principal eigenvalue of discrete weighted pp-Laplacian on the set of nonnegative integers, the convergence of an approximation procedure and the inverse iteration is proved. Meanwhile, in the proof of the convergence, the monotonicity of an approximation sequence is also checked. To illustrate these results, some examples are presented.

Keywords

Cite

@article{arxiv.1807.09911,
  title  = {Approximation Theorem for Principal Eigenvalue of Discrete $\pmb p$-Laplacian},
  author = {Yue-Shuang Li},
  journal= {arXiv preprint arXiv:1807.09911},
  year   = {2019}
}

Comments

16 pages, 2 figures