Normalized solutions for Kirchhoff-Carrier type equation

被引:0
|
作者
Yang, Jie [1 ]
Chen, Haibo [2 ]
机构
[1] Huaihua Univ, Sch Math & Computat Sci, Huaihua 418008, Hunan, Peoples R China
[2] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
来源
AIMS MATHEMATICS | 2023年 / 8卷 / 09期
基金
中国国家自然科学基金;
关键词
Kirchhoff-Carrier type equation; normalized solution; variational methods; EXISTENCE; MULTIPLICITY;
D O I
10.3934/math.20231102
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the following Kirchhoff-Carrier type equation - (a + bM (|Vu|2, |u|T)) & UDelta;u - Au = |u|p-2u, in R3, where a, b > 0 are constants, A E R, p E (2, 6). By using a minimax procedure, we obtain infinitely solutions (vbn, An) with vbn having a prescribed L2-norm. Moreover, we give a convergence property of vbn as b & RARR; 0+.
引用
收藏
页码:21622 / 21635
页数:14
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