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arxiv: 1802.01560 · v1 · pith:G7DN6VNOnew · submitted 2018-02-05 · 🧮 math.AP

Fractional De Giorgi classes and applications to nonlocal regularity theory

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keywords nonlocalregularityfractionalgiorgisometheoryapplicationsauthor
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We present some recent results obtained by the author on the regularity of solutions to nonlocal variational problems. In particular, we review the notion of fractional De Giorgi class, explain its role in nonlocal regularity theory, and propose some open questions in the subject.

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