| 一类负模量Kirchhoff - Carrier方程的解 |
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| 引用本文： | 魏其萍,王跃.一类负模量Kirchhoff - Carrier方程的解[J].延边大学理工学报,2021,0(2):111-115. |
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| 作者姓名： | 魏其萍 王跃 |
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| 作者单位： | (1.贵州民族大学 数据科学与信息工程学院, 贵州 贵阳 550025; 2.贵州大学 数学与统计学院, 贵州 贵阳 550025) |
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| 摘 要： | 利用变分方法和反证法研究了一类含有非线性项的Kirchhoff - Carrier方程,证明了当0<λ1时,该方程至少存在一对非平凡解,且当λ≥a λ1时该方程不存在同号解.
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| 关 键 词： | 负模量 Carrier方程 变分方法 反证法 |
The solution to a Kirchhoff - Carrier equation with Negative Modulus |
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| WEI Qiping,WANG Yue.The solution to a Kirchhoff - Carrier equation with Negative Modulus[J].Journal of Yanbian University (Natural Science),2021,0(2):111-115. |
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| Authors: | WEI Qiping WANG Yue |
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| Affiliation: | (1.School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China; 2.School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China) |
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| Abstract: | In this paper, a Kirchhoff - Carrier equation with nonlinear term is considered by using the variational method and method of contradiction. We prove that there exist at least a pair of nontrivial solutions when 0<λ1, and the same -sign solution doesn't exist when λ≥a λ1. |
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| Keywords: | Negative Modulus Carrier equation variational method method of contradiction |
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