3 citations · 6 across the 6 of their papers we have counts for
6 papers
Three wave interaction solitons for an energy critical Schrödinger system
Luigi Forcella, Xiao Luo, Xiaolong Yang
We investigate standing waves for the energy critical Schrödinger system with three waves interaction arising as a model for the Raman amplification in a plasma. Several results ar…
Normalized solutions for logarithmic Schrödinger equation with a perturbation of power law nonlinearity
Wei Shuai, Xiaolong Yang
We study the existence of normalized solutions to the following logarithmic Schrödinger equation \begin{equation*}\label{eqs01} -Δu+λu=αu\log u^2+μ|u|^{p-2}u, \ \ x\in\R^N, \end{eq…
Standing waves for a Schrödinger system with three waves interaction
Luigi Forcella, Xiao Luo, Tao Yang +1
We study standing waves for a system of nonlinear Schrödinger equations with three waves interaction arising as a model for the Raman amplification in a plasma. We consider the mas…
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…
Positive normalized solutions to nonlinear elliptic systems in with critical Sobolev exponent
Xiao Luo, Xiaolong Yang, Wenming Zou
In this paper, we consider the existence and asymptotic behavior on mass of the positive solutions to the following system: \begin{equation}\label{eqA0.1}\nonumber \begin{cases} -Δ…
Multiplicity and asymptotics of standing waves for the energy critical half-wave
Xiao Luo, Tao Yang, Xiaolong Yang
In this paper, we consider the multiplicity and asymptotics of standing waves with prescribed mass to the energy critical half-wave \begin{equat…