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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. doi:10.1093/imrn/rnq061 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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | International Mathematics Research Notices | ||||
Publisher: | Oxford University Press | ||||
ISSN: | 1073-7928 | ||||
Official Date: | 2011 | ||||
Dates: |
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Volume: | Vol.2011 | ||||
Number: | No.1 | ||||
Page Range: | pp. 119-134 | ||||
DOI: | 10.1093/imrn/rnq061 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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