On the fractional Kirchhoff equation with critical Sobolev exponent

被引：4

作者：

Yang, Zhipeng ^{[1
]}

Zhai, Hao ^{[1
]}

Zhao, Fukun ^{[1
]}

机构：

[1] Yunnan Normal Univ, Dept Math, Kunming 650500, Yunnan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 141卷

基金：

中国国家自然科学基金;

关键词：

Fractional Kirchhoff equations; Perturbed arguments; Lyapunov-Schmidt reduction; PERTURBATION;

D O I：

10.1016/j.aml.2023.108596

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide four existence results of positive solutions to the fractional singular perturbation Kirchhoff equation using the finite-dimensional reduction approach and perturbed argument. (c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：8

共 50 条

[21] MULTIPLICITY OF SOLUTIONS TO KIRCHHOFF TYPE EQUATIONS WITH CRITICAL SOBOLEV EXPONENT
Chen, Peng
Liu, Xiaochun
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2018, 17 (01) : 113 - 125
[22] Normalized solutions to a class of Kirchhoff equations with Sobolev critical exponent
Li, Gongbao
Luo, Xiao
Yang, Tao
ANNALES FENNICI MATHEMATICI, 2022, 47 (02): : 895 - 925
[23] Fractional Kirchhoff-Choquard equation involving Schrodinger term and upper critical exponent
Sang, Yanbin
Liang, Sihua
JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (01)
[24] Fractional Kirchhoff–Choquard equation involving Schrödinger term and upper critical exponent
Yanbin Sang
Sihua Liang
The Journal of Geometric Analysis, 2022, 32
[25] On a semilinear Schrodinger equation with critical Sobolev exponent
Chabrowski, J
Szulkin, A
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (01) : 85 - 93
[26] ON DIRAC EQUATION WITH A POTENTIAL AND CRITICAL SOBOLEV EXPONENT
Gong, Wenmin
Lu, Guangcun
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2015, 14 (06) : 2231 - 2263
[27] Bound state solutions of fractional Choquard equation with Hardy–Littlewood–Sobolev critical exponent
Xiaolong Yang
Computational and Applied Mathematics, 2021, 40
[28] KIRCHHOFF-TYPE PROBLEMS WITH CRITICAL SOBOLEV EXPONENT IN A HYPERBOLIC SPACE
Carriao, Paulo Cesar
dos Reis Costa, Augusto Cesar
Miyagaki, Olimpio Hiroshi
Vicente, Andre
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2021,
[29] Normalized solutions for Kirchhoff equations with Sobolev critical exponent and mixed nonlinearities
Chen, Sitong
Tang, Xianhua
MATHEMATISCHE ANNALEN, 2025, 391 (02) : 2783 - 2836
[30] Critical exponent of the fractional Langevin equation
Burov, S.
Barkai, E.
PHYSICAL REVIEW LETTERS, 2008, 100 (07)

← 1 2 3 4 5 →