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arXiv · 2501.18391

The extended Dirichlet space and criticality theory for nonlinear Dirichlet forms

Marcel Schmidt·Ian Zimmermann
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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.

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Marcel Schmidt, Ian Zimmermann. 2025-01-30. The extended Dirichlet space and criticality theory for nonlinear Dirichlet forms. https://arxiv.org/abs/2501.18391

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