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Title: Regularity for anisotropic fully nonlinear integro-differential equations
Authors: Caffarelli, Luis A.
Leitão, Raimundo
Urbano, José Miguel
Issue Date: 2014
Publisher: Springer
Abstract: We consider fully nonlinear integro-differential equations governed by kernels that have different homogeneities in different directions. We prove a nonlocal version of the ABP estimate, a Harnack inequality and the interior \(C^{1, \gamma }\) regularity, extending the results of Caffarelli and Silvestre (Comm Pure Appl Math 62:597–638, 2009) to the anisotropic case.
Peer review: yes
DOI: 10.1007/s00208-014-1050-6
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Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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