Higher regularity for the Signorini problem for the homogeneous, isotropic Lamé system
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...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
11 January 2022
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| In: |
Nonlinear analysis. Theory, methods & applications
Year: 2022, Volume: 217, Pages: 1-17 |
| ISSN: | 1873-5215 |
| DOI: | 10.1016/j.na.2021.112762 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.na.2021.112762 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0362546X21003114 
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| Author Notes: | Angkana Rüland, Wenhui Shi |
| Summary: | 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. |
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| Item Description: | Gesehen am 13.07.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1873-5215 |
| DOI: | 10.1016/j.na.2021.112762 |