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

Journal of inequalities and applications

Zhen Zhi¹  Lijun Yan²  Zuodong Yang³ 

[1] School of Computer Science and Artificial Intelligence & Aliyun School of Big Data, Changzhou University, 213164, Jiangsu, Changzhou, China;Institute of Mathematics, School of Mathematics Science, Nanjing Normal University, 210023, Jiangsu, Nanjing, China;School of Science, North China Institute of Science and Technology, 065201, Hebei, Sanhe, China;School of Teacher Education, Nanjing Normal University, 210097, Jiangsu, Nanjing, China;School of Teacher Education, Nanjing University of Information Science and Technology, 210044, Jiangsu, Nanjing, China;

关键词: Multiplicity results;    p;    Critical points;    35J20;    35J70;   

DOI  :  10.1186/s13660-021-02635-6

来源: Springer

【 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.

【 授权许可】

CC BY