C1,α Regularity for Solutions to the p-Harmonic thin Obstacle Problem.
John Andersson and Hayk Mikayelyan
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Submission date: 26. Oct. 2006
published in: International mathematics research notices, 2011 (2011) 1, p. 119-134
DOI number (of the published article): 10.1093/imrn/rnq061
MSC-Numbers: 35R35, 35J60, 35B65
Keywords and phrases: p-harmonic, thin obstacle, regularity
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We prove 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.