Sobolev inequalities for nonlinear Dirichlet forms

Published 17 Jan 2026 in math.AP and math.FA | (2601.12192v1)

Abstract: In this short note we show an equivalence between Sobolev type inequalities and so called isocapacitary inequalities in the context of a large class of nonlinear Dirichlet forms, their associated Dirichlet spaces and their associated capacities.

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