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

Journal of Inequalities and Applications

卷:2021

Zhen Zhi¹  Lijun Yan²  Zuodong Yang³ 

[1] School of Computer Science and Artificial Intelligence & Aliyun School of Big Data, Changzhou University;

[2] School of Science, North China Institute of Science and Technology;

[3] School of Teacher Education, Nanjing Normal University;

关键词: Multiplicity results;    Fractional p-Laplacian;    Critical points;   

DOI  :  10.1186/s13660-021-02635-6

来源: DOAJ

【 摘 要 】

Abstract 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.

【 授权许可】

Unknown