4 problems

Let $e(\rho)$ be the constrained energy minimization problem considered in the paper, and let $\rho^*:=\|Q\|_2^2$, where $Q=Q(|x|)$ is the unique positive solution of the associate…

Let $c_1>0$ be the threshold appearing in the existence theory for normalized solutions of the Sobolev critical Schrödinger–Poisson–Slater equation, and let $c$ denote the prescrib…

Let $p\in(\frac{10}{3},6)$ and, for each $c>0$, let $\gamma(c)$ denote the mountain pass level associated with the prescribed-norm Schrödinger–Poisson problem. A value is a critica…

Let $u$ be a solution of the static Schrödinger–Poisson–Slater problem, and suppose that in the radial case its decay estimate is … for suitable constants $C>0$ and $R'>0$. Nonradi…