%A Yaling Han,Jianlin Xiang %T Existence and Asymptotic Behavior of Ground State for Fractional p-Laplacian Equations %0 Journal Article %D 2020 %J Acta mathematica scientia,Series A %R %P 1622-1633 %V 40 %N 6 %U {http://121.43.60.238/sxwlxbA/CN/abstract/article_16270.shtml} %8 2020-12-26 %X

In this paper, existence and asymptotic behavior of a fractional p-Laplacian equation with biharmonic potential and critical nonlinear was considered. First, variational method is used to obtain the existence and nonexistence of ground state under different parameter β. Then, the technique of energy estimates was used to get the asymptotic properties of ground state as parameter β tends to critical case.