Existence of an infinite class of spherically-symmetric solutions to the multi-field Schrödinger-Poisson system is established via global minimization of the energy functional on rotationally invariant H1 functions with fixed L2 norms per component, with the minima shown to be orbitally stable.
A guide to the Choquard equation
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We survey old and recent results dealing with the existence and properties of solutions to the Choquard type equations $$ -\Delta u + V(x)u = \bigl(|x|^{-(N-\alpha)} * |u|^p\bigr)|u|^{p - 2} u \qquad \text{in $\mathbb{R}^N$}, $$ and some of its variants and extensions.
fields
math-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Existence of nonrelativistic $\ell$- and multi-$\ell$-boson stars and their radial stability
Existence of an infinite class of spherically-symmetric solutions to the multi-field Schrödinger-Poisson system is established via global minimization of the energy functional on rotationally invariant H1 functions with fixed L2 norms per component, with the minima shown to be orbitally stable.