Published January 1971
| public
Journal Article
Eigenvalue problems associated with Korn's inequalities
- Creators
- Horgan, C. O.
- Knowles, J. K.
Abstract
We shall discuss a class of problems associated with certain inequalities which apparently originated in the work of A. KORN [1, 2] on the linear theory of elasticity. To describe these inequalities we consider a vector field u(x), continuously differentiable on the closure R + B of a bounded domain R with boundary B in two or three dimensions. Let x, be coordinates in a given rectangular Cartesian coordinate system, and denote by u_i the components of u in this system.
Additional Information
© 1971 Springer. Communicated by E. Sternberg. The research of the second author was supported in part by the United States Office of Naval Research under Contract Nonr 220(56). Reproduction in whole or in part is permitted for any purpose of the United States Government.Additional details
- Eprint ID
- 62367
- DOI
- 10.1007/BF00251798
- Resolver ID
- CaltechAUTHORS:20151124-103729126
- Nonr 220(56)
- Office of Naval Research (ONR)
- Created
-
2015-11-25Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field