Fractional Schrödinger equations with mixed nonlinearities: asymptotic profiles, uniqueness and nondegeneracy of ground states

Mousomi Bhakta, Paramananda Das, Debdip Ganguly

We study the fractional Schrödinger equations with a vanishing parameter: $$(-\Delta {)}^{s}u+u=|u{|}^{p-2}u+\lambda |u{|}^{q-2}u\text{ in }{\mathbb{R}}^N,u\in H^s({\mathbb{R}}^N),$$ where $s\in…