Abstract
We consider the functional (formula presente) 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.
Original language | English |
---|---|
Pages (from-to) | 1302-1312 |
Number of pages | 11 |
Journal | Ergodic Theory and Dynamical Systems |
Volume | 32 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Aug 2012 |
Externally published | Yes |