| Abstract: |
| It is known that the nonlinear Schr\"odinger systems with repulsive interaction has no ground states. Here ground state means a positive solution that attains a minimizing problem on the Nehari set with two constrains. On the other hand, when the minimizing problem is restricted to even functions, one calls a positive minimizer as an even ground state. We study the existence of even ground states of nonlinear Schr\"odinger systems with repulsive interaction. The keys of the proof are estimates of minimizing level and a classificaton of Palais-Smale sequences of even functions. In particular, the case $N=1$ requires more detailed estimates than $N=2,3$. |
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