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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.
