Fractional logarithmic Schrödinger equations on lattice graphs

Lidan Wang

In this paper, we study the fractional logarithmic Schrödinger equation $$(-\Delta {)}^{s}u+h(x)u=u\log u^2$$ on lattice graphs ${\mathbb{Z}}^d$, where $s\in (0,1)$. If $h(x)$ is a bo…