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

John Andersson; Hayk Mikayelyan

doi:10.1093/imrn/rnq061

C^1,α Regularity for solutions to the p-harmonic thin obstacle problem

John Andersson, Hayk Mikayelyan

Research output: Journal Publication › Article › peer-review

3 Citations (Scopus)

Abstract

We prove C^1,α regularity for a thin obstacle problem for the p-Laplace equation. Due to the non-linearity of the p-Laplace operator, we cannot use the same methods used for the Laplace case, instead we use techniques developed by E. de Giorgi.

Original language	English
Pages (from-to)	119-134
Number of pages	16
Journal	International Mathematics Research Notices
Volume	2011
Issue number	1
DOIs	https://doi.org/10.1093/imrn/rnq061
Publication status	Published - 1 Jan 2011
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1093/imrn/rnq061

Cite this

@article{19fceeaffcd6402f831791d0ae1239a1,

title = "C1,α Regularity for solutions to the p-harmonic thin obstacle problem",

abstract = "We prove C1,α regularity for a thin obstacle problem for the p-Laplace equation. Due to the non-linearity of the p-Laplace operator, we cannot use the same methods used for the Laplace case, instead we use techniques developed by E. de Giorgi.",

author = "John Andersson and Hayk Mikayelyan",

year = "2011",

month = jan,

day = "1",

doi = "10.1093/imrn/rnq061",

language = "English",

volume = "2011",

pages = "119--134",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

number = "1",

}

TY - JOUR

T1 - C1,α Regularity for solutions to the p-harmonic thin obstacle problem

AU - Andersson, John

AU - Mikayelyan, Hayk

PY - 2011/1/1

Y1 - 2011/1/1

N2 - We prove C1,α regularity for a thin obstacle problem for the p-Laplace equation. Due to the non-linearity of the p-Laplace operator, we cannot use the same methods used for the Laplace case, instead we use techniques developed by E. de Giorgi.

AB - We prove C1,α regularity for a thin obstacle problem for the p-Laplace equation. Due to the non-linearity of the p-Laplace operator, we cannot use the same methods used for the Laplace case, instead we use techniques developed by E. de Giorgi.

UR - http://www.scopus.com/inward/record.url?scp=78650735868&partnerID=8YFLogxK

U2 - 10.1093/imrn/rnq061

DO - 10.1093/imrn/rnq061

M3 - Article

AN - SCOPUS:78650735868

SN - 1073-7928

VL - 2011

SP - 119

EP - 134

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 1

ER -

C^1,α Regularity for solutions to the p-harmonic thin obstacle problem

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this