Infinitely many solutions for the p-fractional Kirchhoff equations with electromagnetic fields and critical nonlinearity

被引：5

作者：

Liang, Sihua ^{[1
]}

Zhang, Jihui ^{[2
]}

机构：

[1] Changchun Normal Univ, Coll Math, Changchun 130032, Jilin, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2018年 / 23卷 / 04期

关键词：

fractional Kirchhoff equations; fractional magnetic operator; critical nonlinearity; variational methods; SCHRODINGER-EQUATIONS; EXISTENCE; MULTIPLICITY;

D O I：

10.15388/NA.2018.4.9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the fractional Kirchhoff equations with electromagnetic fields and critical nonlinearity. By means of the concentration-compactness principle in fractional Sobolev space and the Kajikiya's new version of the symmetric mountain pass lemma, we obtain the existence of infinitely many solutions, which tend to zero for suitable positive parameters.

引用

页码：599 / 618

页数：20

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