7 papers · 1 filter
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} -Δu+V\left( x\right) u+ρ\left( x\right) ϕ_{ρ,\left(u,v\right) }u=\left\v…
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…
Vectorial ground state solutions for a class of Hartree-Fock type systems with the double coupled feature
Juntao Sun, Tsung-fang Wu
In this paper we study the Hartree-Fock type system as follows: \begin{equation*} \left\{ \begin{array}{ll} -Δu+u+λϕ_{u,v}u=\left\vert u\right\vert ^{p-2}u+β\left\vert v\right\vert…
On the Kirchhoff type equations in
Juntao Sun, Tsung-Fang Wu
Consider a nonlinear Kirchhoff type equation as follows \begin{equation*} \left\{ \begin{array}{ll} -\left( a\int_{\mathbb{R}^{N}}|\nabla u|^{2}dx+b\right) Δu+u=f(x)\left\vert u\ri…
Multiplicity and concentration of nontrivial solutions for the generalized extensible beam equations
Juntao Sun, Tsung-fang Wu
In this paper, we study a class of generalized extensible beam equations with a superlinear nonlinearity \begin{equation*} \left\{ \begin{array}{ll} Δ^{2}u-M\left( \Vert \nabla u\V…
Bound state nodal solutions for the non-autonomous Schrödinger--Poisson system in
Juntao Sun, Tsung-fang Wu
In this paper, we study the existence of nodal solutions for the non-autonomous Schrödinger--Poisson system: \begin{equation*} \left\{ \begin{array}{ll} -Δu+u+λK(x) ϕu=f(x) |u|^{p-…