Infinitely many solutions via critical points for a fractional p-Laplacian equation with perturbations
Infinitely many solutions via critical points for a fractional p-Laplacian equation with perturbations
In this paper, we use variant fountain theorems to study the existence of infinitely many solutions for the fractional p-Laplacian equation $$ (-\Delta )_{p}^{\alpha }u+\lambda V(x) \vert u \vert ^{p-2}u=f(x,u)-\mu g(x) \vert u \vert ^{q-2}u,\quad x\in \mathbb{R}^{N}, $$ where $\lambda,\mu $ are two positive parameters, $N,p\ge 2$ , $q\in (1,p)$ …