Work

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

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2506.11656

Authors: Biagi, Stefano, Merlino, Enzo Maria, Vecchi, Eugenio

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4415069129

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