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The Ground States for Hartree-Fock Systems with a General Nonlinearity
  • Hua Jin,
  • Mingzhen Chen
Hua Jin
China University of Mining and Technology

Corresponding Author:huajin@cumt.edu.cn

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Mingzhen Chen
China University of Mining and Technology
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Abstract

We consider the least energy solutions of Hatree-Fock system with the coupling term Φu,v in the two equations, and the nonlinearity are general subcritical with a small perturbation. By Nehari’s manifold approach, the existence of non-trivial ground state solutions is obtained. The asymptotic behaviors with respect to parameters λ and β are also studied.

Peer review status:ACCEPTED

20 May 2022Submitted to Mathematical Methods in the Applied Sciences
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23 May 2022Submission Checks Completed
23 May 2022Assigned to Editor
30 May 2022Reviewer(s) Assigned
12 Jul 2022Review(s) Completed, Editorial Evaluation Pending
14 Jul 2022Editorial Decision: Revise Minor
16 Jul 20221st Revision Received
18 Jul 2022Submission Checks Completed
18 Jul 2022Assigned to Editor
21 Jul 2022Reviewer(s) Assigned
23 Jul 2022Review(s) Completed, Editorial Evaluation Pending
24 Jul 2022Editorial Decision: Accept