Nonlinear Dirichlet forms have an extended Dirichlet space, and their criticality and subcriticality are characterized by Hardy and Poincaré inequalities and by the norm of the constant function 1.
Cal culus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
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The extended Dirichlet space and criticality theory for nonlinear Dirichlet forms
Nonlinear Dirichlet forms have an extended Dirichlet space, and their criticality and subcriticality are characterized by Hardy and Poincaré inequalities and by the norm of the constant function 1.