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C1, regularity for solutions to the p-harmonic thin obstacle problem

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Andersson, John and Mikayelyan, H.. (2011) C1, regularity for solutions to the p-harmonic thin obstacle problem. International Mathematics Research Notices, Vol.2011 (No.1). pp. 119-134. ISSN 1073-7928

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Official URL: http://dx.doi.org/10.1093/imrn/rnq061

Abstract

We prove C1, α regularity for a thin obstacle problem for the p-Laplace equation. Due to the non-linearity of the p-Laplace operator, we cannot use the same methods used for the Laplace case, instead we use techniques developed by E. de Giorgi.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: International Mathematics Research Notices
Publisher: Oxford University Press
ISSN: 1073-7928
Date: 2011
Volume: Vol.2011
Number: No.1
Page Range: pp. 119-134
Identification Number: 10.1093/imrn/rnq061
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
URI: http://wrap.warwick.ac.uk/id/eprint/43129

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