@article{Zhou2026, 
author = {Ying Zhou and Wei Wei and Jun Lei and Yue Wang},
title = {Positive solutions for a Kirchhoff-Schrödinger-Poisson system with singular term},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {6},
pages = {3991-4004},
keywords = {weak slope, Palais-Smale condition, nonlocal potential},
url = {https://www.sciopen.com/article/10.3934/era.2026179},
doi = {10.3934/era.2026179},
abstract = {This work is concerned with a Kirchhoff-Schrödinger-Poisson (KSP) system posed in a bounded domain of              R        3  . The model features a singular nonlinearity    α      v          −      τ       with    0  <  τ  <  1, together with a coupling term of the form    φ      |    v            |              q      −      2        v, where    2  <  q  <  3. The singular term destroys differentiability of the energy functional while the nonlocal potential        φ    v   causes compactness issues. Using nonsmooth critical point theory, we establish a key estimate linking the weak slope with the derivative of the regular part, prove the Palais-Smale (PS) condition, and characterize critical points as weak solutions. By means of Ekeland's variational principle and the mountain pass theorem, we establish the existence of a constant    Γ  >  0 with the property that the system admits two distinct positive solutions whenever    α  ∈  (  0  ,  Γ  ).}
}