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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.

Received:
Oct 26, 2006
Published:
Oct 26, 2006
MSC Codes:
35R35, 35J60, 35B65
Keywords:
p-harmonic, thin obstacle, regularity

Related publications

inJournal
2011 Repository Open Access
John Andersson and Hayk Mikayelyan

\(C^{1,\alpha}\) regularity for solutions to the \(p\)-harmonic thin obstacle problem

In: International mathematics research notices, 2011 (2011) 1, pp. 119-134