Youjun Wang

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math.AP2021

Blow-up phenomena and asymptotic profiles passing from $H^{1}$ -critical to super-critical quasilinear Schrödinger equations

Daniele Cassani, Youjun Wang

We study the asymptotic profile, as $ℏ \to 0$ , of positive solutions to $- ℏ^{2} Δ u + V (x) u - ℏ^{2 + γ} u Δ u^{2} = K (x) ∣ u ∣^{p - 2} u, x \in R^{N}$ where $γ \geq 0$ is a…

math.AP2021

Blow-up rate and local uniqueness for fractional Schrödinger equations with nearly critical growth

Daniele Cassani, Youjun Wang

We study quantitative aspects and concentration phenomena for ground states of the following nonlocal Schrödinger equation $ (-Δ)^s u+V(x)u= u^{2_s^*-1-\varepsilon} \ \ \text{in}\…

math.AP2013

Soliton solutions for a class of quasilinear Schrödinger equations with a parameter

Claudianor O. Alves, Youjun Wang, Yaotian Shen

Using variational methods combined with perturbation arguments, we study the existence of nontrivial classical solution for the quasilinear Schrödinger equation \begin{equation*}\l…

Blow-up phenomena and asymptotic profiles passing from H1-critical to super-critical quasilinear Schrödinger equations

Blow-up rate and local uniqueness for fractional Schrödinger equations with nearly critical growth

Soliton solutions for a class of quasilinear Schrödinger equations with a parameter

Blow-up phenomena and asymptotic profiles passing from $H^{1}$ -critical to super-critical quasilinear Schrödinger equations