Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian

Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian

Abstract We consider the Kirchhoff-type p-Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the Nehari method in critical point theory, we obtain the existence theorem of ground state solutions for such Dirichlet problem.

Bibliographic Details
Main Authors: Taiyong Chen, Wenbin Liu
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Advances in Difference Equations
Subjects:
Kirchhoff-type equation
Fractional p-Laplacian
Dirichlet problem
Ground state solution
Nehari manifold
Online Access:http://link.springer.com/article/10.1186/s13662-018-1902-6

Internet

http://link.springer.com/article/10.1186/s13662-018-1902-6

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