Abstract
This paper is concerned with a family of elliptic systems of linear elasticity with rapidly oscillating periodic coefficients, arising in the theory of homogenization. We establish uniform optimal regularity estimates for solutions of Neumann problems in a bounded Lipschitz domain with L2 boundary data. The proof relies on a boundary Korn inequality for solutions of systems of linear elasticity and uses a large-scale Rellich estimate obtained in Shen (Anal PDE, arXiv:1505.00694v2).
| Original language | English |
|---|---|
| Pages (from-to) | 1205-1236 |
| Number of pages | 32 |
| Journal | Archive for Rational Mechanics and Analysis |
| Volume | 224 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 1 2017 |
Bibliographical note
Publisher Copyright:© 2017, Springer-Verlag Berlin Heidelberg.
Funding
J. Geng: Supported in part by the NNSF of China (No. 11571152) and Fundamental Research Funds for the Central Universities (2017.01-2018.06). L. Song: Supported in part by the NNSF of China (Nos. 11471338 and 11622113) and Guangdong Natural Science Funds for Distinguished Young Scholar (No. 2016A030306040). Z. Shen: Supported in part by NSF Grant DMS-1600520.
| Funders | Funder number |
|---|---|
| Guangdong Natural Science Funds for Distinguished Young Scholar | 2016A030306040 |
| National Science Foundation (NSF) | DMS-1600520 |
| National Natural Science Foundation of China (NSFC) | 11622113, 11571152, 11471338 |
| Fundamental Research Funds for the Central Universities | 2017.01-2018.06 |
ASJC Scopus subject areas
- Analysis
- Mathematics (miscellaneous)
- Mechanical Engineering