Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory
Yuhua Long · Advances in Nonlinear Analysis · 2022
Abstract In this article, we study discrete Kirchhoff-type problems when the nonlinearity is resonant at both zero and infinity. We establish a series of results on the existence of nontrivial solutions by combining variational method with Morse theory. Several examples are provided to illustrate applications of our results.