Sobolev inequalities for nonlinear Dirichlet forms
Analysis of PDEs
2026-01-21 v1 Functional Analysis
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.
Cite
@article{arxiv.2601.12192,
title = {Sobolev inequalities for nonlinear Dirichlet forms},
author = {Ralph Chill and Burkhard Claus},
journal= {arXiv preprint arXiv:2601.12192},
year = {2026}
}
Comments
13 pages