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Regularity Results for Fully Nonlinear Integro-Differential Operators with Nonsymmetric Positive Kernels: Subcritical Case
- Authors
- Kim, Yong-Cheol; Lee, Ki-Ahm
- Issue Date
- 2월-2013
- Publisher
- SPRINGER
- Keywords
- Integro-differential operators; A-B-P estimate; Harnack estimate; Nonlocal equations
- Citation
- POTENTIAL ANALYSIS, v.38, no.2, pp.433 - 455
- Indexed
- SCIE
SCOPUS
- Journal Title
- POTENTIAL ANALYSIS
- Volume
- 38
- Number
- 2
- Start Page
- 433
- End Page
- 455
- ISSN
- 0926-2601
- Abstract
- We introduce a class of fully nonlinear integro-differential operators with possible nonsymmetric kernels. For the index sigma of the operator in (1, 2) (subcritical case), we introduce a very general class of fully nonlinear integro-differential operators and obtain a comparison principle, a nonlocal version of the Alexandroff-Backelman-Pucci estimate, a Harnack inequality, a Holder regularity, and an interior C-1,C-alpha-regularity for equations associated with such a class.
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