On a class of (non)local superposition operators of arbitrary order
Analysis of PDEs
2025-10-10 v1
Abstract
In this paper we introduce a very general setting dealing with the superposition of operators of any positive order and provide a systematic study of them. We also provide examples and counterexamples, as well as characterizing properties of the measures and the functional spaces under consideration. Moreover, we present some applications regarding the existence theory for a class of nonlinear problems involving superposition operators of arbitrary (possibly fractional) order.
Cite
@article{arxiv.2510.08345,
title = {On a class of (non)local superposition operators of arbitrary order},
author = {Serena Dipierro and Sven Jarohs and Enrico Valdinoci},
journal= {arXiv preprint arXiv:2510.08345},
year = {2025}
}
Comments
62 pages