RESEARCH ARTICLE
Positive ground state solutions for fractional Kirchhoff type equations with critical growth
Wentao Huang,
Xiao Luo,
Corresponding Author
Wentao Huang
School of Science, East China Jiaotong University, Nanchang, China
Correspondence
Wentao Huang, School of Science, East China JiaoTong University, Nanchang 330013, China.
Email: [email protected]
Communicated by: K. Chelminski
Search for more papers by this authorXiao Luo
School of Mathematics, Hefei University of Technology, Hefei, China
Search for more papers by this authorWentao Huang,
Xiao Luo,
Corresponding Author
Wentao Huang
School of Science, East China Jiaotong University, Nanchang, China
Correspondence
Wentao Huang, School of Science, East China JiaoTong University, Nanchang 330013, China.
Email: [email protected]
Communicated by: K. Chelminski
Search for more papers by this authorXiao Luo
School of Mathematics, Hefei University of Technology, Hefei, China
Search for more papers by this authorAbstract
We study the existence of positive ground state solutions for the following fractional Kirchhoff type equation
with
and s ∈ (0,1). Under suitable assumptions on V(x), by using a monotonicity trick and a global compactness principle, we prove that the equation admits a positive ground state solution if
and μ > 0 large enough.
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