@article{Ma2024, 
author = {Jiaying Ma and Yueqiang Song},
title = {On multi-bump solutions for a class of Schrödinger-Poisson systems with    p-Laplacian in              R              3},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {1},
pages = {1595-1621},
keywords = {Schrödinger-Poisson system, p-Laplacian, multi-bump solution, variational methods},
url = {https://www.sciopen.com/article/10.3934/math.2024079},
doi = {10.3934/math.2024079},
abstract = {In this article, we consider the following a class of Schrödinger-Poisson systems with    p-Laplacian in              R              3       of the form:         {                            −                      Δ                          p                                u          +          (          λ          b          (          x          )          +          1          )                      |                    u                                    |                                      p              −              2                                u          +          ϕ                      |                    u                                    |                                      s              −              2                                u          =          g          (          u          )                          in                                              R                                      3                                ,                                      −          Δ          ϕ          =                      |                    u                                    |                                      s                                                in                                              R                                      3                                ,                        where    1  <  p  <  3,        p    2    <  s  <  p,        Δ          p        u  :=  d  i  v  (      |    ∇  u            |              p      −      2        ∇  u  ) is the    p-Laplacian operator,    λ is a positive parameter. Assume that the nonnegative function    b possesses a potential well int   (      b          −      1        (  {  0  }  )  ), which is composed of    k disjoint components        Ω          1        ,      Ω          2        ,  ⋯  ,      Ω          k       and consider the nonlinearity    g with subcritical growth. Using the variational methods and Morse iteration technique, the existence of positive multi-bump solutions are obtained.}
}