@article{Lu2023, 
author = {Dengfeng Lu and Shuwei Dai},
title = {Ground states to a Kirchhoff equation with fractional Laplacian},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {10},
pages = {24473-24483},
keywords = {fractional Kirchhoff equation, ground state solution, (PSP)-sequence, variational methods},
url = {https://www.sciopen.com/article/10.3934/math.20231248},
doi = {10.3934/math.20231248},
abstract = {The aim of this paper is to deal with the Kirchhoff type equation involving fractional Laplacian operator         (          α      +      β              ∫                                            R                                      3                                                  |            (      −      Δ              )                              s            2                              ψ                        |                          2                                  d            x        )    (  −  Δ      )          s        ψ  +  κ  ψ  =      |    ψ            |              p      −      2        ψ        in              R              3        ,where    α  ,  β  ,  κ  >  0 are constants. By constructing a Palais-Smale-Pohozaev sequence at the minimax value        c          m      p      , the existence of ground state solutions to this equation for all    p  ∈  (  2  ,      2          s              ∗        ) is established by variational arguments. Furthermore, the decay property of the ground state solution is also investigated.}
}