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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

Author

Lei Wei

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Open access Sep 2026

Existence and uniqueness of solutions to Hardy-H\'enon boundary-value problems

We consider the elliptic equation $$ -\Delta u=d(x)^\alpha u^p,\quad x\in \Omega\quad (\text{or } x\in\mathbb{R}^N\setminus \overline{\Omega}), $$ where \(\alpha, p \in \mathbb{R}\), \(d(x) = \text{dist} (x,\partial\Omega)\) and \(\Omega\subset\mathbb{R}^N\) \((N\geq 3)\) is a bounded smooth domain. We establish estima...

Xi-You Cheng, Hui-Juan Shao, Lei Wei et al. · 0 citations
Apr 2022

Dispersive decay for the nonlinear magnetic Schrödinger equation

In this paper, we obtain the dispersive estimates and global well-posedness of the nonlinear magnetic Schr\"odinger equation in $\mathbb{R}^{3}$ with nonlinearity $|u|^{p-1}u$ with exponent $\frac{5}{3}<p<5$ when the initial value stays in a suitable space $\Sigma_{s}$. By proving the resolvent estimates with weight fu...

Lei Wei, Zhi-Wen Duan · 1 citation · ⚡1

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