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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
120/2006

$C^{1,\alpha}$ Regularity for Solutions to the $p$-Harmonic thin Obstacle Problem.

John Andersson and Hayk Mikayelyan

Abstract

We prove $C^{1,\alpha}$ regularity for a thin obstacle problem for the $p$-laplace equation. Due to the nonlinearity of the $p$-laplace operator we can not use the same methods used for the Laplace case, instead we use techniques developed by E. de Giorgi.

Received:
26.10.06
Published:
26.10.06
MSC Codes:
35R35, 35J60, 35B65
Keywords:
p-harmonic, thin obstacle, regularity

Related publications

inJournal
2011 Repository Open Access
John Andersson and Hayk Mikayelyan

\(C^{1,\alpha}\) regularity for solutions to the \(p\)-harmonic thin obstacle problem

In: International mathematics research notices, 2011 (2011) 1, pp. 119-134