| 加权半线性椭圆系统稳定正解的Liouville定理 |
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| 引用本文： | 甘怡清,胡良根.加权半线性椭圆系统稳定正解的Liouville定理[J].宁波大学学报(理工版),2023,0(2):73-81. |
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| 作者姓名： | 甘怡清 胡良根 |
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| 作者单位： | 宁波大学 数学与统计学院, 浙江 宁波 315211 |
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| 基金项目： | 国家自然科学基金（62071262）；;宁波市自然科学基金（2018A610194）； |
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| 摘 要： | 研究加权半线性椭圆系统■其中,p>1,w(x)、w1(x)和w2(x)是非负连续函数.对于w1≠w2和w1≡w2,指数p属于次临界、临界和超临界的部分区间时,证明了椭圆系统不存在稳定正解.
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| 关 键 词： | 稳定解 Liouville定理 权项 迭代 |
Liouville type theorems for stable solutions of semilinear elliptic system with weights |
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| GAN Yiqing,HU Lianggen.Liouville type theorems for stable solutions of semilinear elliptic system with weights[J].Journal of Ningbo University(Natural Science and Engineering Edition),2023,0(2):73-81. |
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| Authors: | GAN Yiqing HU Lianggen |
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| Affiliation: | School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China |
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| Abstract: | In this paper, we study the following semilinear elliptic system with weights ,where , , and are nonnegative continuous functions. For the two cases and , it is proved that there is no stable positive solutions for the elliptic system when the exponent belongs to the subcritical, critical and supercritical partial intervals. |
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| Keywords: | stable solutions Liouville type theorem weights iteration |
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