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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