15-50 Matteo Cozzi

Interior regularity of solutions of non-local equations in Sobolev and Nikol'skii spaces (627K, pdf) Jun 12, 15

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Abstract. We prove interior $H^{2 s - arepsilon}$ regularity for weak solutions of linear elliptic integro-differential 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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