Nonlinear resistance forms

Fuente: arXiv
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Autori principali: Puchert, Simon, Schmidt, Marcel
Natura: Preprint
Pubblicazione: 2025
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author Puchert, Simon
Schmidt, Marcel
author_facet Puchert, Simon
Schmidt, Marcel
contents In this paper we introduce the notion of nonlinear resistance forms. We define a $1$-parameter family of nonlinear resistance metrics and show their additivity over serial circuits. Moreover, we prove that resistance forms and $p$-resistance forms fall into our framework.
format Preprint
id arxiv_https___arxiv_org_abs_2507_03426
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nonlinear resistance forms
Puchert, Simon
Schmidt, Marcel
Functional Analysis
In this paper we introduce the notion of nonlinear resistance forms. We define a $1$-parameter family of nonlinear resistance metrics and show their additivity over serial circuits. Moreover, we prove that resistance forms and $p$-resistance forms fall into our framework.
title Nonlinear resistance forms
topic Functional Analysis
url https://arxiv.org/abs/2507.03426