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math.AP2026
On a class of logarithmic Schrödinger equations via perturbation method
Chen Huang, Zhipeng Yang
In this paper, we consider the following logarithmic Schrödinger equation \[ -Îu + V(x)u = u \log u^{2},\quad x\in\mathbb{R}^{N}. \] Assuming that \(V\in C(\mathbb{R}^{N},\mathbb…
math.AP2026
The new observations about the parameter-dependent Schrödinger-Poisson system
Chen Huang, Sihua Liang, Lei Ma +1
In this paper, we study the existence results of solutions for the following Schrödinger-Poisson system involving different potentials: \begin{equation*} \begin{cases} -Îu+V(x)u-…