2 papers
math.FA2025
Nonlinear resistance forms
Simon Puchert, Marcel Schmidt
In this paper we introduce the notion of nonlinear resistance forms. We define a -parameter family of nonlinear resistance metrics and show their additivity over serial circuits…
math.FA2025
Nonlinear Beurling-Deny criteria
Simon Puchert
This short note introduces a simple symmetric contraction property for functionals. This property clearly characterizes Dirichlet forms in the linear case. We show that it also cha…