Normalized solutions for Kirchhoff equation with L2-critical exponents

被引：0
|
作者：
Liu, Changlin [1 ]
Lv, Ying [1 ]
Ou, Zengqi [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2024年 / 65卷 / 07期
基金：
中国国家自然科学基金;
关键词：
EXISTENCE;
D O I：
10.1063/5.0180748
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study the nonexistence and existence of normalized solutions for the nonlinear Kirchhoff-type equation -a+b integral N-R|del u|(2)dx)Delta u=lambda u+|u|(p-2)u+|u|(q-2)u in R-N with prescribed L-2-norm, where N = 1, 2, 3, a, b > 0 are constants, q=2+8\N is L-2-critical exponent to Kirchhoff-type Equation, and p=2+4\N is the L-2-critical exponent to the "local" equation.
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页数：12
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