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.

引用

页数：12

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