Existence of nontrivial solutions for a class of nonlocal Kirchhoff type problems

Boundary Value Problems

Zeng-Qi Ou¹  Chun Li¹ 

[1] School of Mathematics and Statistics, Southwest University;

关键词: Kirchhoff type problem;    ( P S ) $(PS)$ condition;    Local linking;    Critical point;   

DOI  :  10.1186/s13661-018-1080-1

来源: DOAJ

【 摘 要 】

Abstract With the aid of the three-critical-point theorem due to Brezis and Nirenberg (see Brezis and Nirenberg in Commun. Pure Appl. Math. 44:939–963, 1991), two existence results of at least two nontrivial solutions for a class of nonlocal Kirchhoff type problems are obtained.

【 授权许可】

Unknown