4 papers
On traveling waves and global existence for a nonlinear Schrödinger system with three waves interaction
Yuan Li
In this paper, we consider three components system of nonlinear Schrödinger equations related to the Raman amplification in a plasma. By using variational method, a new result on t…
Sharp blow-up result for the intercritical Inhomogeneous NLS equation
Yuan Li
In this paper, we consider the intercritical inhomogeneous nonlinear Schrödinger equation. For the radial symmetry initial data, we construct the ring blow-up solutions and obtain…
Blowup dynamics for inhomogeneous mass critical half-wave equation
Yuan Li
We consider the focusing inhomogeneous mass critical half-wave equation in one dimension. Under the mild conditions of the inhomogeneous factor, we show that the existence of the r…
Classification of solutions to several semi-linear polyharmonic equations and fractional equations
Zhuoran Du, Zhenping Feng, Yuan Li
We are concerned with the following semi-linear polyharmonic equation with integral constraint \begin{align} \left\{\begin{array}{rl} &(-Δ)^pu=u^γ_+ ~~ \mbox{ in }{\mathbb{R}^n},\\…