| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 29, Number 4, August 2024
|
|
|---|---|---|
| Page(s) | 365 - 373 | |
| DOI | https://doi.org/10.1051/wujns/2024294365 | |
| Published online | 04 September 2024 | |
Mathematics
CLC number: O175.8
Unilateral Global Bifurcation and One-Sign Solutions for Kirchhoff Type Problem in ℝN
全空间ℝN上Kirchhoff型方程单侧全局分歧和保号解
College of General Education, Guangdong University of Science and Technology, Dongguan 523083, Guangdong, China
Received:
21
September
2023
In this paper, we study the following Kirchhoff type problem: 
Unilateral global bifurcation result is established for this problem. As applications of the bifurcation result, we determine the intervals of 
for the existence, nonexistence, and exact multiplicity of one-sign solutions for this problem.
摘要
本文研究了下列Kirchhoff型方程:
建立了方程的单侧全局分歧结果。应用上述分歧结果, 对于属于不同区间的值, 得到了方程保号解的存在性,不存在性及解的确切个数。
Key words: unilateral global bifurcation / one-sign solutions / Kirchhoff type problem
关键字 : 单侧全局分歧 / 保号解 / Kirchhoff型方程
Cite this article: SHEN Wenguo. Unilateral Global Bifurcation and One-Sign Solutions for Kirchhoff Type Problem in 
[J]. Wuhan Univ J of Nat Sci, 2024, 29(4): 365-373.
Biography: SHEN Wenguo, male, Ph.D., Professor, research direction: nonlinear functional differential equations. E-mail: shenwg369@163.com
Fundation item: Supported by the National Natural Science Foundation of China (11561038)
© Wuhan University 2024
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