Instability of standing waves for a quasi-linear Schrödinger equation in the critical case
We consider the following quasi-linear Schrödinger equation. $ \begin{align} i\frac{\partial\psi}{\partial t}+\triangle\psi+\psi\triangle|\psi|^2+|\psi|^{p-1}\psi = 0,x\in \mathbb{R}^D, D\geq1, \;\;\;\;\;\;\;\;\;(Q)\end{align} $ where $ \psi: \mathbb{R}^+\times \mathbb{R}^D\rightarrow \mathb...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2022-03-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022539?viewType=HTML |