| Abstract: |
| We survey works on a class of coupled nonlinear elliptic equations with mixed couplings, in particular on solution structure of existence and qualitative property of positive solutions. Depending upon the system being attractive or repulsive, solutions may tend to be component-wisely synchronized or segregated. We then report our results on the effect of mixed coupling for which coexistence of synchronization and segregation may occur, in particular, we examine the asymptotic behavior of least energy solutions for large and small mixed coupling of multi-scales. |
|