Regularity estimates for nonlocal equations with an asymptotic property

Disson Prazeres () and Aelson Sobral ()
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Disson Prazeres: Federal University of Sergipe (UFS)
Aelson Sobral: Federal University of Paraíba (UFPB)

Partial Differential Equations and Applications, 2021, vol. 2, issue 3, 1-13

Abstract: Abstract In this paper we obtain $${\mathcal {C}}^{1,(\sigma -1)^-}$$ C 1 , ( σ - 1 ) - regularity estimates for a class of nonlocal $${\mathcal {L}}_0(\sigma )-$$ L 0 ( σ ) - uniformly elliptic equations with an asymptotic property. We use the compactness technique to recover such regularity from the nonlocal version of the recession operator.

Keywords: Nonlocal recession operator; Asymptotic (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-021-00090-y

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