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20172026
most citedMulti-peak semiclassical bound states for Fractional Schrödinger Equations with fast decaying potentials

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math.AP2020

Semiclassical states for fractional logarithmic Schrödinger equations

Xiaoming An

In this paper, we consider the following fractional logarithmic Schrödinger equation \begin{equation*} \varepsilon^{2s}(-Δ)^s u + V(x)u=u\log |u|^2\ \ \text{in}\ \R^N, \end{equatio…