ABSTRACT
In the present paper, we consider Hartree type equation with periodic potential. On the one hand, we prove the existence and nonexistence of the minimizer for the energy functional by using concentration-compactness lemma. On the other hand, we prove the energy estimates and describe the asymptotical behavior of the minimizer
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Acknowledgements
The authors thank the referee's thoughtful reading of details of the paper and nice suggestions to improve the results.
Disclosure statement
No potential conflict of interest was reported by the authors.