Infinitely many solutions via critical points for a fractional p-Laplacian equation with perturbations

Abstract In this paper, we use variant fountain theorems to study the existence of infinitely many solutions for the fractional p-Laplacian equation (−Δ)pαu+λV(x)|u|p−2u=f(x,u)−μg(x)|u|q−2u,x∈RN, $$ (-\Delta )_{p}^{\alpha }u+\lambda V(x) \vert u \vert ^{p-2}u=f(x,u)-\mu g(x) \vert u \vert ^{q-2}u,\q...

Full description

Bibliographic Details
Main Authors: Keyu Zhang, Donal O’Regan, Jiafa Xu, Zhengqing Fu
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-019-2113-5