Yuan Li

activity

20182023

most citedBlowup dynamics for Mass Critical Half-wave equation in 3D

7 citations · 15 across the 8 of their papers we have counts for

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Showing 2020 · math.APShow all

3 papers · 2 filters

math.AP2020★ 7 cited

Blowup dynamics for Mass Critical Half-wave equation in 3D

Vladimir Georgiev, Yuan Li

We consider the half-wave equation $i u_{t} = D u - ∣ u ∣^{\frac{2}{3}} u$ in three dimension and in the mass critical. For initial data $u (t_{0}, x) = u_{0} (x) \in H_{r a d}^{1/2} (R^{3})$ with…

math.AP2020★ 1 cited

Partial regularity and Liouville theorems for stable solutions of anisotropic elliptic equations

Mostafa Fazly, Yuan Li

We study the quasilinear elliptic equation \begin{equation*} -Qu=e^u \ \ \text{in} \ \ Ω\subset \mathbb{R}^{N} \end{equation*} where the operator $Q$ , known as Finsler-Laplacian (o…

math.AP2020★ 1 cited

Nondispersive solutions to the mass critical half-wave equation in two dimensions

Vladimir Georgiev, Yuan Li

We consider the half-wave equation with mass critical in two dimension \begin{eqnarray*} \begin{cases} iu_t=Du-|u|u,\,\,\, \\ u(0,x)=u_0(x), \end{cases} \end{eqnarray*} First, we p…