Preprint 120/2006

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

John Andersson and Hayk Mikayelyan

Contact the author: Please use for correspondence this email.
Submission date: 26. Oct. 2006
Pages: 13
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
Download full preprint: PDF (156 kB)

We prove formula4 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.

23.06.2018, 02:11