The extended Dirichlet space and criticality theory for nonlinear Dirichlet forms
Functional Analysis
2025-04-01 v2
Abstract
In this paper we establish the existence of the extended Dirichlet space for nonlinear Dirichlet forms under mild conditions. We employ it to introduce and characterize criticality (recurrence) and subcriticality (transience) and establish basics of a potential theory.
Cite
@article{arxiv.2501.18391,
title = {The extended Dirichlet space and criticality theory for nonlinear Dirichlet forms},
author = {Marcel Schmidt and Ian Zimmermann},
journal= {arXiv preprint arXiv:2501.18391},
year = {2025}
}