Regularizing effects of absorption terms in local-nonlocal mild singular problems
Analysis of PDEs
2025-06-16 v1
Abstract
In this paper we prove existence and uniqueness of energy solutionns for singular problems with absorption driven by local-nonlocal operators. Moreover, we establish a comparison principle \`a la Talenti, leading to a gain of summability result for the solutions of these problems.
Cite
@article{arxiv.2506.11656,
title = {Regularizing effects of absorption terms in local-nonlocal mild singular problems},
author = {Stefano Biagi and Enzo Maria Merlino and Eugenio Vecchi},
journal= {arXiv preprint arXiv:2506.11656},
year = {2025}
}