Article contents
Some results on minimizers and stable solutions of a variational problem
Published online by Cambridge University Press: 10 June 2011
Abstract
We consider the functional in a periodic setting. We discuss whether the minimizers or the stable solutions satisfy some symmetry or monotonicity properties, with special emphasis on the autonomous case when F is x-independent. In particular, we give an answer to a question posed by Victor Bangert when F is autonomous in dimension n≤3 and in any dimension for non-zero rotation vectors.
- Type
- Research Article
- Information
- Copyright
- Copyright © Cambridge University Press 2011
References
- 3
- Cited by