| 带有加权Hardy-Sobolev临界指数的非齐次Neumann边界奇异的多解问题 |
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| 引用本文： | 商彦英,王聪.带有加权Hardy-Sobolev临界指数的非齐次Neumann边界奇异的多解问题[J].数学年刊A辑(中文版),2019,40(4):349-360. |
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| 作者姓名： | 商彦英 王聪 |
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| 作者单位： | 通信作者. 西南大学数学与统计学院, 重庆 400715.,西南大学数学与统计学院, 重庆 400715. |
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| 摘 要： | 主要研究了非齐次Neumann边界奇异的问题,利用Ekeland变分原理、山路引理和一些分析技巧,证明了正解的存在性.
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| 关 键 词： | Neumann problem Boundary singularities Ekeland''s variational principle |
| 收稿时间： | 2018/10/20 0:00:00 |
Multiple Positive Solutions for a Inhomogeneous Neumann Problem with Critical Weight Hardy-Sobolev Exponent and Boundary Singularities |
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| SHANG Yanying and WANG Cong.Multiple Positive Solutions for a Inhomogeneous Neumann Problem with Critical Weight Hardy-Sobolev Exponent and Boundary Singularities[J].Chinese Annals of Mathematics,2019,40(4):349-360. |
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| Authors: | SHANG Yanying and WANG Cong |
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| Institution: | Corresponding author. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China. and School of Mathematics and Statistics, Southwest University, Chongqing 400715, China. |
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| Abstract: | In this paper, the authors study a inhomogeneous Neumann elliptic equation with
boundary singularities. By Ekeland''s variational principle, mountain pass lemma and some
analysis technology, the existence of multiple positive solutions is established. |
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| Keywords: | Neumann problem Boundary singularities Ekeland''s variational principle |
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