MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint

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

John Andersson and Hayk Mikayelyan


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.

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

Related publications

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