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

2025/06/13 by Biagi, Stefano, Merlino, Enzo Maria, Vecchi, Eugenio
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.11656

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.

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• Interior and Boundary Regularity of Mixed Local Nonlocal Problem with Singular Data and Its Applications
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