2 papers
math.AP2026
Sobolev inequalities for nonlinear Dirichlet forms
Ralph Chill, Burkhard Claus
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, t…
math.FA2023
Domination of nonlinear semigroups generated by regular, local Dirichlet forms
Ralph Chill, Burkhard Claus
In this article we study perturbations of local, nonlinear Dirichlet forms on arbitrary topological measure spaces. We show that the semigroup of a local Dirichlet form \(\mathcal{…