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arXiv · 2506.11656

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

Stefano Biagi·Enzo Maria Merlino·Eugenio Vecchi
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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.

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Stefano Biagi, Enzo Maria Merlino, Eugenio Vecchi. 2025-06-13. Regularizing effects of absorption terms in local-nonlocal mild singular problems. https://arxiv.org/abs/2506.11656

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