Multiple solutions to the Kirchhoff fractional equation involving Hardy–Littlewood–Sobolev critical exponent

Multiple solutions to the Kirchhoff fractional equation involving Hardy–Littlewood–Sobolev critical exponent

Abstract In this paper, we study a fractional Kirchhoff type equation with Hardy–Littlewood–Sobolev critical exponent. By using variational methods, we obtain the existence of mountain-pass type solution and negative energy solutions. Also, we prove some further properties of solutions.

Bibliographic Details
Main Authors: Jichao Wang, Jian Zhang, Yujun Cui
Format: Article
Language:English
Published: SpringerOpen 2019-07-01
Series:Boundary Value Problems
Subjects:
Fractional equation
Kirchhoff type
Hardy–Littlewood–Sobolev critical exponent
Multiple solution
Online Access:http://link.springer.com/article/10.1186/s13661-019-1239-4

Internet

http://link.springer.com/article/10.1186/s13661-019-1239-4

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