MULTIPLE SOLUTIONS FOR A KIRCHHOFF-TYPE FRACTIONAL COUPLED PROBLEM WITH P-LAPLACIAN

被引:0
作者
Wang, Yi [1 ]
Tian, Lixin [2 ]
Dong, Minjie [3 ]
机构
[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
[2] Jiangsu Univ, Sch Math Sci, Zhenjiang 212013, Peoples R China
[3] Nanjing Tech Univ, Sch Phys & Math Sci, Nanjing 211816, Peoples R China
来源
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 03期
关键词
Kirchhoff-type fractional equation; p-Laplacian operator; varia-tional methods; critical point theory; BOUNDARY-VALUE-PROBLEMS;
D O I
10.11948/20220341
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we look at a class of two-parameters coupled Kirchhoff -type fractional differential equations. Two differentiated methods are used to prove the existence of two solutions to the equation. The fundamental differ-ence between the two methods is that the first provides asymptotic conditions for the non-linear terms on the right-hand side of the equation, while the second provides algebraic conditions; both methods combine substantial A-R conditions.
引用
收藏
页码:1535 / 1555
页数:21
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