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Ground-State Solutions to a Hartree–Fock Type System with a 3-Lower Nonlinearity

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Abstract

In this paper, we achieve a ground state to a Hartree–Fock type system having an external potential and 3-lower nonlinearity. An interesting finding is that 3-order power-type nonlinearity could be controlled by the Coulomb interaction.

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Acknowledgements

The authors would like to thank the reviewers sincerely for their valuable and constructive suggestions, which lead to a significant improvement in the quality of the manuscript.

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Authors and Affiliations

  1. School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, Shanxi, People’s Republic of China

    Zushun Min, Yuhua Li & Xiaoli Zhu

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  1. Zushun Min
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  2. Yuhua Li
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  3. Xiaoli Zhu
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Contributions

Zushun Min wrote the first draft of the manuscript. All authors reviewed and revised the manuscript.

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Correspondence to Xiaoli Zhu.

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Partially supported by the National Natural Science Foundation of China (Grant Nos. 12071266, 12271313 and 12101376), Fundamental Research Program of Shanxi Province (20210302124528, 202103021224013 and 202203021211309), and Shanxi Scholarship Council of China (2020-005).

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Min, Z., Li, Y. & Zhu, X. Ground-State Solutions to a Hartree–Fock Type System with a 3-Lower Nonlinearity. Qual. Theory Dyn. Syst. 23, 5 (2024). https://doi.org/10.1007/s12346-023-00860-6

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  • DOI: https://doi.org/10.1007/s12346-023-00860-6

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