期刊
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
卷 195, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2019.111730
关键词
Nonlocal operators; Elliptic equations; Regularity theory; Bessel potential spaces
资金
- German Research Foundation [SFB 1283]
In this paper, we study the regularity of weak solutions to a class of nonlocal elliptic equations in Bessel potential spaces H-s,H-p. Our main results can be seen as an extension of the well-known W-1,W-p regularity theory for local second-order elliptic equations in divergence form to the nonlocal setting. (C) 2019 Elsevier Ltd. All rights reserved.
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