3 problems

For $b\in(0,1)$ and sufficiently large mass $c1$, the Gross–Pitaevskii–Poisson problem has mountain pass solutions of type I and type II, constructed respectively by Theorems 1 and…

Let $u_bb$ be a fixed-frequency ground state of the Gross–Pitaevskii–Poisson equation with small frequency parameter $bb>0$, and let $\rho_bb:=|u_bb|_2>0$ be its mass. Mountain pas…

The defocusing Gross–Pitaevskii–Poisson equation admits mountain pass solutions of type I and type II for the same mass parameters, with the two types defined by the respective con…