We prove a nonlinear commutator estimate concerning the transfer of derivatives onto testfunctions for the fractional p-Laplacian. This implies that solutions to certain degenerate nonlocal equations are higher differentiable. Also, weakly fractional p-harmonic functions which a priori are less regular than variational solutions are in fact classical. As an application we show that sequences of uniformly bounded ns-harmonic maps converge strongly outside at most finitely many points.
CITATION STYLE
Schikorra, A. (2016). Nonlinear commutators for the fractional p-Laplacian and applications. Mathematische Annalen, 366(1–2), 695–720. https://doi.org/10.1007/s00208-015-1347-0
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