Existence and multiplicity of positive solutions for a class of Kirchhoff type problems with singularity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:430

Article

Liao, Jia-Feng^1,2  Zhang, Peng²  Liu, Jiu¹  Tang, Chun-Lei¹ 

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Zunyi Normal Coll, Sch Math & Computat Sci, Zunyi 563002, Guizhou, Peoples R China

关键词: Kirchhoff type equation;    Singularity;    Multiplicity;    Nehari method;   

DOI  :  10.1016/j.jmaa.2015.05.038

来源: Elsevier

【 摘 要 】

In this work, we study a class of Kirchhoff type problems with singularity and nonlinearity, and obtain the uniqueness and existence of positive solutions of those problems by the variational methods. Furthermore, we obtain the multiplicity of positive solutions of those problems by the Nehari method. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free