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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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