A class of semilinear elliptic equations on lattice graphs

B. Hua, R. Li, L. Wang

In this paper, we study the semilinear elliptic equation of the form \begin{eqnarray*} -Δu+a(x)|u|^{p-2}u-b(x)|u|^{q-2}u=0 \end{eqnarray*} on lattice graphs ${\mathbb{Z}}^N$, where…