Existence and multiplicity of solutions for the logarithmic Schrödinger equation with a potential on lattice graphs

Zhentao He, Chao Ji

In this paper, we consider the existence and multiplicity of solutions for the logarithmic Schrödinger equation on lattice graphs ${\mathbb{Z}}^N$ $$ -Δu+V(x) u=u \log u^2, \quad x \…