Xiaoming An

activity

20172026

most citedMulti-peak semiclassical bound states for Fractional Schrödinger Equations with fast decaying potentials

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

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Showing 2026 · math.APShow all

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math.AP2026

Quantitative analysis of ground states for the fractional logarithmic Schrödinger equation

Xiaoming An, Shuangjie Peng, Fulin Zhong

Let $N \geq 1$ and $0 < s < 1$ . We study positive ground states of the fractional logarithmic Schrödinger equation \begin{equation*} (-Δ)^sQ=Q\log Q \quad\text{in }\mathbb{R}^N. \end{equ…

math.AP2026

Qualitative analysis of energy ground states for magnetic focusing Gross-Pitaevskii equations

Xiaoming An, Lun Guo, Xiao Luo +1

We prove the uniqueness, asymptotics, symmetry, and orbital stability of energy ground states for 3D magnetic Gross-Pitaevskii equations under mild conditions on the electric poten…