On the Eigenvalues of the $p\&q-$ Fractional Laplacian

Sabri Bahrouni, Hichem Hajaiej, Linjie Song

We consider the eigenvalue problem for the fractional $p\&q-$Laplacian \begin{equation} \left\{\begin{aligned} (- Δ)_p^{s}\, u + μ(- Δ)_q^{s}\, u+ |u|^{p-2}u+μ|u|^{q-2}u=λ V(x)|u…