Multiple solutions for a fractional p&q-Laplacian system involving Hardy-Sobolev exponent

Miskolc Mathematical Notes

article

Tiantian Zheng¹  Chunyan Zhang²  Jihui Zhang² 

[1] Jinling Institute of Technology, College of Science;Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University

关键词: Hardy-Sobolev exponents;    fractional p&q-Laplacian;    Ljusternik-Schnirelmann theory;    infinitely many solutions;    weak solutions;   

DOI  :  10.18514/MMN.2022.3926

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

In this paper, we prove the existence of infinitely many solutions for a fractional p\&q-Laplacian system involving Hardy-Sobolev exponents and obtain new conclusion under different conditions. The methods used here are based on variational methods, the Nehari Manifold and Ljusternik-Schnirelmann theory.

【 授权许可】

CC BY