Nonlinear Comutators for the fractional p-Laplacian and applications

Schikorra, Armin. (2015) Nonlinear Comutators for the fractional p-Laplacian and applications. Preprints Fachbereich Mathematik, 2015 (21).

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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 non-local 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 n/s -harmonic maps converge strongly outside at most finitely many points.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Analysis (Lenzmann)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Schikorra, Armin
Item Type:Preprint
Publisher:Universität Basel
edoc DOI:
Last Modified:12 May 2019 21:37
Deposited On:28 Mar 2019 09:51

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