Multiplicity results for a fractional Kirchhoff equation involving sign-changing weight function

Boundary value problems

Chuanzhi Bai¹ 

[1] Department of Mathematics, Huaiyin Normal University, Huaian, P.R. China

关键词: fractional p-Laplacian;    Kirchhoff type problem;    sign-changing weight;    Nehari manifold;    35J50;    35J60;    47G20;   

DOI  :  10.1186/s13661-016-0715-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we prove the existence and multiplicity of solutions for a fractional Kirchhoff equation involving a sign-changing weight function which generalizes the corresponding result of Tsung-fang Wu (Rocky Mt. J. Math. 39:995-1011, 2009). Our main results are based on the method of a Nehari manifold.

【 授权许可】

CC BY