2 papers
math.AP2024
Existence and symmetry breaking of vectorial ground states for Hartree-Fock type systems with potentials
Juntao Sun, Tsung-fang Wu
In this paper we study the Hartree-Fock type system as follows: \begin{equation*} \left\{ \begin{array}{ll} -Îu+V\left( x\right) u+Ï\left( x\right) Ï_{Ï,\left(u,v\right) }u=\le…
math.AP2024
Existence and dynamical behaviour of vectorial standing waves with prescribed mass for Hartree-Fock type systems
Shuai Yao, Juntao Sun, Tsung-fang Wu
In this paper, we investigate vectorial standing waves with prescribed mass for the Hartree-Fock type system (HF system) with the double coupled feature. Such system is viewed as a…