Calculus of Variations and Geometric Measure Theory

S. Biagi - E. M. Merlino - E. Vecchi

Regularizing effects of absorption terms in local-nonlocal mild singular problems

created by merlino on 19 Oct 2026

[BibTeX]

preprint

Inserted: 19 oct 2026

Year: 2025

ArXiv: 2506.11656 PDF

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 à la Talenti, leading to a gain of summability result for the solutions of these problems.