Stability threshold conjecture for ground states of the trapped nonlinear Schrödinger equation
Stability threshold conjecture. For every ppp satisfying +4n<p<pn∗+\frac{4}{n}<p<p_n^*+n4<p<pn∗, there exists ωp,n\omega_{p,n}ωp,n such that ϕω\phi_\omegaϕω is stable whenever −n<ω≤ωp,n-n<\omega\leq\omega_{p,n}−n<ω≤ωp,n…