The extended Dirichlet space and criticality theory for nonlinear Dirichlet forms

Published 30 Jan 2025 in math.FA | (2501.18391v2)

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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