| Contents |
| Using the variational method and critical point theory, the authors study the existence of infinitely
many homoclinic solutions to the difference equation
\begin{equation*}
-\Delta \big(a(k)\phi_p(\De u(k-1))\big)+b(k)\phi_p(u(k))=\lm f(k,u(k))),\quad k\in\Z,
\end{equation*}
where $p>1$ is a real number, $\phi_p(t)=|t|^{p-2}t$ for $t\in\R$, $\lm>0$ is a parameter,
$a, b:\Z\to (0,\infty)$, and $f: \Z\times\R\to\R$ is continuous in the second variable.
Related results in the literature are extended. |
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