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Complete classification of solutions for spin-1 Bose-Einstein condensates in R
Xiao Luo, Cunxin Wei, Juncheng Wei +1
Spin-1 Bose-Einstein condensates provide a fundamental platform for exploring quantum magnetism and coherent spin dynamics. Their three Zeeman components are coupled by spin-exchan…
Normalized solutions for Schrödinger system with subcritical Sobolev exponent and combined nonlinearities
Maoding Zhen
In this paper, we look for solutions to the following coupled Schrödinger system \begin{equation*} \begin{cases} -Δu+λ_{1}u=α_{1}|u|^{p-2}u+μ_{1}u^{3}+ρv^{2}u & \text{in} \ \ \math…
Normalized solutions for Schrödinger system with quadratic and cubic interactions
Xiao Luo, Juncheng Wei, Xiaolong Yang +1
In this paper, we give a complete study on the existence and non-existence of normalized solutions for Schrödinger system with quadratic and cubic interactions. In the one dimensio…
Normalized ground states for the critical fractional NLS equation with a perturbation
Maoding Zhen, Binlin Zhang
In this paper, we study normalized ground states for the following critical fractional NLS equation with prescribed mass: \begin{equation*} \begin{cases} (-Δ)^{s}u=λu +μ|u|^{q-2}u+…
Positive ground state solutions for fractional Laplacian system with one critical exponent and one subcritical exponent
Maoding Zhen, Jinchun He, Haoyuan Xu +1
In this paper, we consider the following fractional Laplacian system with one critical exponent and one subcritical exponent \begin{equation*} \begin{cases} (-Δ)^{s}u+μu=|u|^{p-1}u…
The Nehari manifold for fractional p-Laplacian system involving concave-convex nonlinearities and sign-changing weight functions
Maoding Zhen
In this paper, we consider a fractional p-Laplacian system with both concave-convex nonlinearities and sign-changing weight functions in bounded domains. With the help of the Nehar…