Interior Regularity of Solutions of Non-local Equations in Sobolev and Nikol’skii Spaces

نویسنده

  • MATTEO COZZI
چکیده

We prove interior H2s−ε regularity for weak solutions of linear elliptic integrodifferential equations close to the fractional s-Laplacian. The result is obtained via intermediate estimates in Nikol’skii spaces, which are in turn carried out by means of an appropriate modification of the classical translation method by Nirenberg.

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تاریخ انتشار 2015