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

QIU Shuang-shuang, XU Li-ping

doi:10.13371/j.cnki.chin.q.j.m.2026.02.004

Chinese Quarterly Journal of Mathematics >

2026 , Vol. 41 >Issue 2: 147 - 161

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2026.02.004

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

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School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China

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.

XU Li-ping (1972-), female, native of Luoyang, Henan, professor of Henan University of Science and Technology, engages in nonlinear analysis.

Received date: 2025-05-05

Online published: 2026-06-30

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).

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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.

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QIU Shuang-shuang, XU Li-ping . Ground State Normalized Solution for Nonhomogeneous Schrödinger-Poisson-Slater Equations with Potential[J]. Chinese Quarterly Journal of Mathematics, 2026 , 41(2) : 147 -161 . DOI: 10.13371/j.cnki.chin.q.j.m.2026.02.004

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