Ground states for fractional Choquard equations with doubly critical exponents and magnetic fields
- Authors: Guo Z.1, Zhao L.2
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Affiliations:
- Liaoning Normal University
- Beijing Normal University
- Issue: Vol 88, No 1 (2024)
- Pages: 47-57
- Section: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/251855
- DOI: https://doi.org/10.4213/im9361
- ID: 251855
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Abstract
In this paper, we investigate the ground states for the fractional Choquard equations with doubly critical exponents and magnetic fields. We prove that the equation has a ground state solution by using the Nehari method and the Pokhozhaev identity.
About the authors
Zhenyu Guo
Liaoning Normal University
Email: guozy@163.com
Doctor of physico-mathematical sciences, Associate professor
Lujuan Zhao
Beijing Normal University
Author for correspondence.
Email: zhao_lujuan@163.com
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