Multiple solutions for Kirchhoff-type equations in $\mathbb {R}^N$RN

Abstract

This paper is devoted to the existence of infinitely many solutions for a class of Kirchhoff-type equations setting on \documentclass[12pt]{minimal}\begin{document}$\mathbb {R}^N$\end{document}RN. Based on the minimax methods in critical point theory, we obtain infinitely many large-energy and small-energy solutions, which unify and sharply improve the recent results of Wu [“Existence of nontrivial solutions and high energy solutions for Schrödinger–Kirchhoff-type equations in RN,” Nonlinear Anal.: Real World Appl. 12, 1278–1287 (2011)].