Chinese Quarterly Journal of Mathematics ›› 2026, Vol. 41 ›› Issue (2): 147-161.doi: 10.13371/j.cnki.chin.q.j.m.2026.02.004

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Ground State Normalized Solution for Nonhomogeneous Schrödinger-Poisson-Slater Equations with Potential

  

  1. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China
  • Received:2025-05-05 Online:2026-06-30 Published:2026-06-30
  • About author:QIU Shuang-shuang (2000-), female, native of Jiaozuo, Henan, postgraduate of Henan University of Science and Technology, engages in nonlinear analysis; XU Li-ping (1972-), female, native of Luoyang, Henan, professor of Henan University of Science and Technology, engages in nonlinear analysis.
  • Supported by:
    Supported by National Natural Science Foundation of China (Grant Nos. 11671403 and 11671236), Henan Provincial General Natural Science Foundation Project (Grant No. 232300420113).

Abstract:  In this paper, we primarily investigate the existence of ground state normalized solutions to the following nonhomogeneous Schrödinger-Poisson-Slater equation......

Key words: Nonlinear Schr¨odinger-Poisson-Slater equations, Ground state normalized solutions, Variational methods, Potential, Perturbation.

CLC Number: