Higher regularity for the Signorini problem for the homogeneous, isotropic Lamé system

Angkana Rüland; Wenhui Shi

doi:10.1016/j.na.2021.112762

Higher regularity for the Signorini problem for the homogeneous, isotropic Lamé system

Angkana Rüland, Wenhui Shi

School of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

Abstract

In this note we discuss the (higher) regularity properties of the Signorini problem for the homogeneous, isotropic Lamé system. Relying on an observation by Schumann (1989), we reduce the question of the solution's and the free boundary regularity for the homogeneous, isotropic Lamé system to the corresponding regularity properties of the obstacle problem for the half-Laplacian.

Original language	English
Article number	112762
Number of pages	17
Journal	Nonlinear Analysis
Volume	217
DOIs	https://doi.org/10.1016/j.na.2021.112762
Publication status	Published - Apr 2022

Access to Document

10.1016/j.na.2021.112762

Cite this

@article{799050ff67124fe4acdb13588a57fb5d,

title = "Higher regularity for the Signorini problem for the homogeneous, isotropic Lam{\'e} system",

abstract = "In this note we discuss the (higher) regularity properties of the Signorini problem for the homogeneous, isotropic Lam{\'e} system. Relying on an observation by Schumann (1989), we reduce the question of the solution's and the free boundary regularity for the homogeneous, isotropic Lam{\'e} system to the corresponding regularity properties of the obstacle problem for the half-Laplacian.",

author = "Angkana R{\"u}land and Wenhui Shi",

note = "Funding Information: A.R. was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany{\textquoteright}s Excellence Strategy EXC-2181/1 - 390900948 (the Heidelberg STRUCTURES Cluster of Excellence). Publisher Copyright: {\textcopyright} 2021 Elsevier Ltd",

year = "2022",

month = apr,

doi = "10.1016/j.na.2021.112762",

language = "English",

volume = "217",

journal = "Nonlinear Analysis",

issn = "0362-546X",

publisher = "Elsevier",

}

TY - JOUR

T1 - Higher regularity for the Signorini problem for the homogeneous, isotropic Lamé system

AU - Rüland, Angkana

AU - Shi, Wenhui

N1 - Funding Information: A.R. was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy EXC-2181/1 - 390900948 (the Heidelberg STRUCTURES Cluster of Excellence). Publisher Copyright: © 2021 Elsevier Ltd

PY - 2022/4

Y1 - 2022/4

N2 - In this note we discuss the (higher) regularity properties of the Signorini problem for the homogeneous, isotropic Lamé system. Relying on an observation by Schumann (1989), we reduce the question of the solution's and the free boundary regularity for the homogeneous, isotropic Lamé system to the corresponding regularity properties of the obstacle problem for the half-Laplacian.

AB - In this note we discuss the (higher) regularity properties of the Signorini problem for the homogeneous, isotropic Lamé system. Relying on an observation by Schumann (1989), we reduce the question of the solution's and the free boundary regularity for the homogeneous, isotropic Lamé system to the corresponding regularity properties of the obstacle problem for the half-Laplacian.

UR - https://www.scopus.com/pages/publications/85122625545

U2 - 10.1016/j.na.2021.112762

DO - 10.1016/j.na.2021.112762

M3 - Article

AN - SCOPUS:85122625545

SN - 0362-546X

VL - 217

JO - Nonlinear Analysis

JF - Nonlinear Analysis

M1 - 112762

ER -

Higher regularity for the Signorini problem for the homogeneous, isotropic Lamé system

Abstract

Access to Document

Other files and links

Cite this