@article{Yang2022, 
author = {Jinfu Yang and Wenmin Li and Wei Guo and Jiafeng Zhang},
title = {Existence of infinitely many normalized radial solutions for a class of quasilinear Schrödinger-Poisson equations in              R        3},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {10},
pages = {19292-19305},
keywords = {mountain pass geometry, pohožaev identity, normalized radial solutions},
url = {https://www.sciopen.com/article/10.3934/math.20221059},
doi = {10.3934/math.20221059},
abstract = {In this paper, we study the existence of infinitely many normalized radial solutions for the following quasilinear Schrödinger-Poisson equations:     −  Δ  u  −  λ  u  +  (      |    x            |              −      1        ∗      |    u            |        2    )  u  −  Δ  (      u    2    )  u  −      |    u            |              p      −      2        u  =  0  ,    x  ∈            R        3    ,where    p  ∈  (      10    3    ,  6  ),    λ  ∈      R  . Firstly, the quasilinear equations are transformed into semilinear equations by making a appropriate change of variables, whose associated variational functionals are well defined in        H    r    1    (            R        3    ). Secondly, by constructing auxiliary functional and combining pohožaev identity, we prove that under constraints, the energy functionals related to the equation have bounded Palais-Smale sequences on each level set. Finally, it is obtained that there are infinitely many normalized radial solutions for this kind of quasilinear Schrödinger-Poisson equations.}
}