Existence and multiplicity of solutions for a fractional p-Laplacian equation with perturbation

被引：2

作者：

Zhi, Zhen ^{[1
,2
,3
]}

Yan, Lijun ^{[4
]}

Yang, Zuodong ^{[5
,6
]}

机构：

[1] Changzhou Univ, Sch Comp Sci & Artificial Intelligence, Changzhou 213164, Jiangsu, Peoples R China

[2] Changzhou Univ, Aliyun Sch Big Data, Changzhou 213164, Jiangsu, Peoples R China

[3] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Jiangsu, Peoples R China

[4] North China Inst Sci & Technol, Sch Sci, Sanhe 065201, Hebei, Peoples R China

[5] Nanjing Normal Univ, Sch Teacher Educ, Nanjing 210097, Jiangsu, Peoples R China

[6] Nanjing Univ Informat Sci & Technol, Sch Teacher Educ, Nanjing 210044, Jiangsu, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Multiplicity results; Fractional p-Laplacian; Critical points;

D O I：

10.1186/s13660-021-02635-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence of nontrivial solutions for a fractional p-Laplacian equation in a bounded domain. Under different assumptions of nonlinearities, we give existence and multiplicity results respectively. Our approach is based on variational methods and some analytical techniques.

引用

页数：13

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