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Higher Holder regularity for the fractional p-Laplacian in the superquadratic case
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 32018 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 338, p. 782-846Article in journal (Refereed) Published
Abstract [en]

We prove higher Holder regularity for solutions of equations involving the fractional p-Laplacian of order s, when p >= 2 and 0 < s < 1. In particular, we provide an explicit Holder exponent for solutions of the non-homogeneous equation with data in L-q and q > N/(sp), which is almost sharp whenever sp <= (p 1) + N/q. The result is new already for the homogeneous equation.

Place, publisher, year, edition, pages
2018. Vol. 338, p. 782-846
Keywords [en]
Fractional p-Laplacian, Nonlocal elliptic equations, Holder regularity
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-162095DOI: 10.1016/j.aim.2018.09.009ISI: 000447961200017OAI: oai:DiVA.org:su-162095DiVA, id: diva2:1264093
Available from: 2018-11-19 Created: 2018-11-19 Last updated: 2018-11-19Bibliographically approved

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