@article{Wang2022, 
author = {Huanhuan Wang and Kexin Ouyang and Huiqin Lu},
title = {Normalized ground states for fractional Kirchhoff equations with critical or supercritical nonlinearity},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {6},
pages = {10790-10806},
keywords = {normalized solution, fractional Kirchhoff equation, Pohozaev manifold, Moser iteration method, supercritical growth},
url = {https://www.sciopen.com/article/10.3934/math.2022603},
doi = {10.3934/math.2022603},
abstract = {The aim of this paper is to study the existence of ground states for a class of fractional Kirchhoff type equations with critical or supercritical nonlinearity     (  a  +  b      ∫                            R                          3                          |    (  −  △      )                  s        2              u            |              2        d  x  )  (  −  △      )          s        u  =  λ  u  +      |    u            |              q      −      2        u  +  μ      |    u            |              p      −      2        u  ,    x  ∈            R              3        ,with prescribed        L          2      -norm mass         ∫                            R                          3                          u          2        d  x  =      c          2      where    s  ∈  (      3    4    ,    1  )  ,    a  ,  b  ,  c  >  0  ,              6      +      8      s        3    <  q  <      2          s              ∗        ,    p  ≥      2          s              ∗          (      2          s              ∗        =      6          3      −      2      s        )  ,    μ  >  0 and    λ  ∈      R   as a Langrange multiplier. By combining an appropriate truncation argument with Moser iteration method, we prove that the existence of normalized solutions for the above equation when the parameter    μ is sufficiently small.}
}