Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/44399
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 | Serial title, monograph or event: | Mathematische Annalen | Volume: | 360 | Issue: | 3-4 | 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: | https://hdl.handle.net/10316/44399 | DOI: | 10.1007/s00208-014-1050-6 10.1007/s00208-014-1050-6 |
Rights: | embargoedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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File | Description | Size | Format | |
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Urbano_paper4.pdf | 383.7 kB | Adobe PDF | View/Open |
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