Publications
2006
Issue 120

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

120/2006

$C^{1, α}$ Regularity for Solutions to the $p$ -Harmonic thin Obstacle Problem.

John Andersson and Hayk Mikayelyan

Abstract

We prove $C^{1, α}$ 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.

Contact the author per mail Download full preprint 152 KB

Received:: 26.10.06

Published:: 26.10.06

MSC Codes:: 35R35, 35J60, 35B65

Keywords:: p-harmonic, thin obstacle, regularity

Related publications

inJournal

2011 Repository Open Access

John Andersson and Hayk Mikayelyan

$C^{1, α}$ regularity for solutions to the $p$ -harmonic thin obstacle problem

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

BibTex DOI: 10.1093/imrn/rnq061

MiS Preprint Repository

C1,α Regularity for Solutions to the p-Harmonic thin Obstacle Problem.

Abstract

Related publications

C1,α regularity for solutions to the p-harmonic thin obstacle problem

$C^{1, α}$ Regularity for Solutions to the $p$ -Harmonic thin Obstacle Problem.

$C^{1, α}$ regularity for solutions to the $p$ -harmonic thin obstacle problem