Perturbed fractional eigenvalue problems
Perturbed fractional eigenvalue problems
Let $Ω\subset\mathbb{R}^N$ ( $N≥2$ ) be a bounded domain with Lipschitz boundary. For each $p∈(1,∞)$ and $s∈ (0,1)$ we denote by $(-Δ_p)^s$ the fractional $(s,p)$ -Laplacian operator. In this paper we study the existence of nontrivial solutions for a perturbation of the eigenvalue problem $(-Δ_p)^s u=λ |u|^{p-2}u$ , in $Ω$ …