English

Nonlinear resistance forms

Functional Analysis 2025-07-08 v1

Abstract

In this paper we introduce the notion of nonlinear resistance forms. We define a 11-parameter family of nonlinear resistance metrics and show their additivity over serial circuits. Moreover, we prove that resistance forms and pp-resistance forms fall into our framework.

Cite

@article{arxiv.2507.03426,
  title  = {Nonlinear resistance forms},
  author = {Simon Puchert and Marcel Schmidt},
  journal= {arXiv preprint arXiv:2507.03426},
  year   = {2025}
}
R2 v1 2026-07-01T03:46:30.641Z