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

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

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.

Bibliographic Details
Main Authors: Zeng-Qi Ou, Chun Li
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:Boundary Value Problems
Subjects:
Kirchhoff type problem
( P S ) $(PS)$ condition
Local linking
Critical point
Online Access:http://link.springer.com/article/10.1186/s13661-018-1080-1

Internet

http://link.springer.com/article/10.1186/s13661-018-1080-1

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