Positive solutions of the discrete Robin problem with $ \phi $-Laplacian

Abstract

<p style='text-indent:20px;'>In this paper, by using critical point theory, we obtain some sufficient conditions on the existence of infinitely many positive solutions of the discrete Robin problem with <inline-formula><tex-math id="M2">\begin{document}$ \phi $\end{document}</tex-math></inline-formula>-Laplacian. We show that, an unbounded sequence of positive solutions and a sequence of positive solutions which converges to zero will emerge from the suitable oscillating behavior of the nonlinear term at infinity and at the zero, respectively. We also give two examples to illustrate our main results.</p>