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

作者：Bai, Chuanzhi^*

来源：Boundary Value Problems, 2016, 2016(1): 212.

DOI：10.1186/s13661-016-0715-3

• fractional p-Laplacian
• Kirchhoff type problem
• sign-changing weight
• Nehari manifold

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.

• 出版日期2016-11-25
• 单位淮阴师范学院