Sobolev inequalities for nonlinear Dirichlet forms

Fuente: arXiv
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Auteurs principaux: Chill, Ralph, Claus, Burkhard
Format: Preprint
Publié: 2026
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author Chill, Ralph
Claus, Burkhard
author_facet Chill, Ralph
Claus, Burkhard
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_12192
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Sobolev inequalities for nonlinear Dirichlet forms
Chill, Ralph
Claus, Burkhard
Analysis of PDEs
Functional Analysis
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.
title Sobolev inequalities for nonlinear Dirichlet forms
topic Analysis of PDEs
Functional Analysis
url https://arxiv.org/abs/2601.12192