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

共 50 条

[21] NORMALIZED SOLUTIONS TO THE KIRCHHOFF EQUATION WITH A PERTURBATION TERM
Hu, Jiaqing
Mao, Anmin
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2023, 36 (3-4) : 289 - 312
[22] Existence and uniqueness of normalized solutions for the Kirchhoff equation
Zeng, Xiaoyu
Zhang, Yimin
APPLIED MATHEMATICS LETTERS, 2017, 74 : 52 - 59
[23] On singularity formation for the L2-critical Boson star equation
Lenzmann, Enno
Lewin, Mathieu
NONLINEARITY, 2011, 24 (12) : 3515 - 3540
[24] ON THE L2-CRITICAL NONLINEAR SCHRODINGER EQUATION WITH A NONLINEAR DAMPING
Darwich, Mohamad
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2014, 13 (06) : 2377 - 2394
[25] The existence of normalized solutions for L 2-critical constrained problems related to Kirchhoff equations
Ye, Hongyu
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (04): : 1483 - 1497
[26] Asymptotic behavior of normalized ground states for the fractional Schrodinger equation with combined L2-critical and L2-subcritical nonlinearities
Chen, Ruipeng
Liu, Jiayin
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (07) : 4627 - 4639
[27] Vortex collapse for the L2-critical nonlinear Schrodinger equation
Simpson, G.
Zwiers, I.
JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (08)
[28] The mass concentration phenomenon for L2-critical constrained problems related to Kirchhoff equations
Hongyu Ye
Zeitschrift für angewandte Mathematik und Physik, 2016, 67
[29] Normalized Solutions to the Kirchhoff Equation with Potential Term: Mass Super-Critical Case
Wang, Qun
Qian, Aixia
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2023, 46 (02)
[30] Normalized Solutions to the Kirchhoff Equation with Potential Term: Mass Super-Critical Case
Qun Wang
Aixia Qian
Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46

← 1 2 3 4 5 →