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Peer-reviewedCC BYElectronic Journal of Differential Equations

Existence of ground state solutions for fractional Choquard systems

  • Hui Xu1
  • Yulin Zhao1
  1. 1Hunan Univ. of Technology, Zhuzhou, Hunan, China
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Abstract

This article studies the existence of ground state solutions for nonlinear fractional Choquard systems. Under Berestycki-Lions type assumptions on the nonlinearity, we develop a variational framework in fractional Sobolev spaces to tackle the system. The main difficulties arising from the nonlocality of the fractional Laplacian and the associated loss of compactness are overcome by combining the concentration-compactness principle, the Pohozaev identity, and s-harmonic extension techniques. We establish the existence of ground state solutions of the fractional Choquard systems, and a numerical example is provided to verify the main result obtained in this paper.

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Cite

BibTeXRIS
BibTeX
@article{xu2026existence,
  title = {{Existence of ground state solutions for fractional Choquard systems}},
  author = {Hui Xu and Yulin Zhao},
  journal = {Electronic Journal of Differential Equations},
  year = {2026},
  month = aug,
  url = {http://ejde.math.txstate.edu/Volumes/2026/63/abstr.html},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Existence of ground state solutions for fractional Choquard systems
AU  - Hui Xu
AU  - Yulin Zhao
PY  - 2026
DA  - 2026/08/01
JO  - Electronic Journal of Differential Equations
UR  - http://ejde.math.txstate.edu/Volumes/2026/63/abstr.html
AB  - This article studies the existence of ground state solutions for nonlinear fractional Choquard systems. Under Berestycki-Lions type assumptions on the nonlinearity, we develop a variational framework in fractional Sobolev spaces to tackle the system. The main difficulties arising from the nonlocality of the fractional Laplacian and the associated loss of compactness are overcome by combining the concentration-compactness principle, the Pohozaev identity, and s-harmonic extension techniques. We establish the existence of ground state solutions of the fractional Choquard systems, and a numerical example is provided to verify the main result obtained in this paper.
SN  - 1072-6691
ER  -