Abstract
We show the existence of standing-wave solutions to a coupled non-linear Klein-Gordon equation. Our solutions are obtained as minimizers of the energy under a two-charges constraint. We prove that the ground state is stable and that standing-waves are orbitally stable under a non-degeneracy assumption.
| Original language | English |
|---|---|
| Pages (from-to) | 639-658 |
| Number of pages | 20 |
| Journal | Advanced Nonlinear Studies |
| Volume | 12 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2012 |
| Externally published | Yes |
Keywords
- Elliptic systems
- Orbital stability
- Standing waves
- Unbounded domain
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- General Mathematics