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- W4295364685 abstract "We study the ground states for a system of two coupled Hartree equations with both attractive intraspecies and attractive interspecies interactions in RN (N≥3), which can also be described by L2-constraint minimizers of mass critical Hartree energy functionals with trapping potentials. The existence and nonexistence of minimizers are classified completely by establishing the refined Gagliardo-Nirenberg type inequality. Based on some delicate estimates of the Hartree energy functional, the limit behavior of minimizers is also analyzed as the interspecies interaction strength goes to a critical value, where each component of minimizers blows up and concentrates at a flattest common minimum point of trapping potentials. An optimal blow-up rate of minimizers for the Hartree energy functional is concomitantly obtained." @default.
- W4295364685 created "2022-09-13" @default.
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- W4295364685 date "2022-12-01" @default.
- W4295364685 modified "2023-09-24" @default.
- W4295364685 title "On the existence and limit behavior of ground states for two coupled Hartree equations" @default.
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- W4295364685 doi "https://doi.org/10.1016/j.jde.2022.08.037" @default.
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