| 一类奇异k-Hessian方程耦合系统的特征值问题 |
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| 引用本文： | 丁欢欢,何兴玥.一类奇异k-Hessian方程耦合系统的特征值问题[J].山东大学学报(理学版),2023,58(3):55-63. |
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| 作者姓名： | 丁欢欢 何兴玥 |
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| 作者单位： | 西北师范大学数学与统计学院, 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金资助项目(11961060);西北师范大学研究生科研资助项目(2021KYZZ01032) |
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| 摘 要： | 考察一类奇异k-Hessian方程耦合系统特征值问题径向解的存在性。通过构造适当的上下解，并利用Schauder不动点定理，证得该问题至少存在一个径向解，并获得该径向解的一些渐近性质。
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| 关 键 词： | k-Hessian方程 Hessian矩阵 上下解 奇异性 |
Eigenvalue problem of a coupled system of singular k-Hessian equations |
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| DING Huan-huan,HE Xing-yue.Eigenvalue problem of a coupled system of singular k-Hessian equations[J].Journal of Shandong University,2023,58(3):55-63. |
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| Authors: | DING Huan-huan HE Xing-yue |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | This paper focuses on the existence of radial solutions for the eigenvalue problem of a coupled system of singular k-Hessian equations. By constructing the suitable upper and lower solutions and using the Schauder fixed point theorem, it is proved that at least one radial solution exists in this problem and some asymptotic properties of the radial solution are obtained. |
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| Keywords: | k-Hessian equation Hessian matrix upper and lower solution singularity |
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