Abstract
In this paper, we consider \begin{document}$ L^2 $\end{document} constrained minimization problem for a modified Gross-Pitaevskii equation with higher order interactions in \begin{document}$ \mathbb{R}^2 $\end{document} . By using an auxiliary functional and some detailed energy estimates, the blow-up behavior of ground state for the modified Gross-Pitaevskii equation was obtained under different parameter regimes. Our conclusion extends some results of [ 3 ,Theorem 3.4].
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