Hs,p regularity theory for a class of nonlocal elliptic equations
Abstract
In this paper, we study the regularity of weak solutions to a class of nonlocal elliptic equations in Bessel potential spaces Hs,p. Our main results can be seen as an extension of the well-known W1,p regularity theory for local second-order elliptic equations in divergence form to the nonlocal setting.
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