Title: Regularity for anisotropic fully nonlinear integro-differential equations Authors: Caffarelli, Luis A. Leitão, Raimundo Urbano, José Miguel Issue Date: 2014 Publisher: Springer Project: PEst-C/MAT/UI0324/2011 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. URI: http://hdl.handle.net/10316/44399 Other Identifiers: 10.1007/s00208-014-1050-6 DOI: 10.1007/s00208-014-1050-6 Rights: embargoedAccess Appears in Collections: I&D CMUC - Artigos em Revistas Internacionais

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