Maximal smoothness for solutions to equilibrium equations in 2D nonlinear elasticity
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- by Xiaodong Yan PDF
- Proc. Amer. Math. Soc. 135 (2007), 1717-1724 Request permission
Abstract:
For a class of variational integrals from 2D nonlinear elasticity, we prove that any $W^{2,2}\cap C^{1}$weak solution for the equilibrium equations is smooth. Moreover, we present an example showing that the assumption $u\in$ $W^{2,2}$ is optimal.References
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Additional Information
- Xiaodong Yan
- Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
- Email: xiayan@math.msu.edu
- Received by editor(s): August 10, 2005
- Received by editor(s) in revised form: December 22, 2005
- Published electronically: November 15, 2006
- Additional Notes: This research was partially supported by NSF grant DMS-0431710 and IRGP grant from Michigan State University.
- Communicated by: David S. Tartakoff
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 1717-1724
- MSC (2000): Primary 35B65
- DOI: https://doi.org/10.1090/S0002-9939-06-08645-X
- MathSciNet review: 2286081