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

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10.1093/imrn/rnq061

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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",

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AU - Mikayelyan, Hayk

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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.

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DO - 10.1093/imrn/rnq061

M3 - Article

AN - SCOPUS:78650735868

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EP - 134

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

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

Abstract

ASJC Scopus subject areas

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