Existence and multiplicity of solutions for fractional Laplacian system

ABSTRACT

This paper is devoted to study the existence and multiplicity of solutions to fractional $(p_1,p_2,\dots ,p_k)$-Laplacian system by analyzing the relationship between the Nehari manifold and fibering maps.

Keywords:

• Multiplicity of solutions
• fractional $(p_1,p_2,\dots ,p_k)$-Laplacian system
• Nehari manifold

2010 Mathematics Subject Classifications:

• 35J20
• 35J60
• 47G20

Acknowledgments

The authors are grateful to the reviewer for reading the paper carefully and giving some valuable comments.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The first author was supported by the Natural Science Foundation of Chongqing, China (cstc2018jcyjAX0196) and National Nature Science Foundation of China (no. 11501468).