A Kirchhoff-type problem involving concave-convex nonlinearities

Advances in Difference Equations

article

Gao, Yuan¹  Liu, Lishan¹  Luan, Shixia¹  Wu, Yonghong² 

[1] School of Mathematical Sciences, Qufu Normal University;Department of Mathematics and Statistics, Curtin University

关键词: Concave-convex nonlinearities;    Kirchhoff-type problem;    Nehari manifolds;    Ground state sign-changing solutions;   

DOI  :  10.1186/s13662-021-03331-x

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

A Kirchhoff-type problem with concave-convex nonlinearities is studied. By constrained variational methods on a Nehari manifold, we prove that this problem has a sign-changing solution with least energy. Moreover, we show that the energy level of this sign-changing solution is strictly larger than the double energy level of the ground state solution.

【 授权许可】

CC BY