Abstract
This paper studies the 1D Neumann problem of bistable equations with nonlocal constraint. We obtain the global bifurcation structure of solutions by a level set analysis for the associate integral mapping. This structure implies that solutions can form a saddle-node bifurcation curve connecting boundary-layer states with internal-layer states. Furthermore, we exhibit the applications of our result to a couple of shadow systems arising in surface chemistry and physiology.
Original language | English |
---|---|
Pages (from-to) | 467-476 |
Number of pages | 10 |
Journal | Discrete and Continuous Dynamical Systems - Series S |
Issue number | SUPPL. |
Publication status | Published - 2013 Nov |
Externally published | Yes |
Keywords
- Allen-Cahn equation
- Level set
- Nonlocal constraint
- Saddle-node bifurcation
- Shadow system
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics