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,2019,40(4):349~360 |
带有加权Hardy-Sobolev 临界指数的非齐次Neumann 边界奇异的多解问题 |
Multiple Positive Solutions for a Inhomogeneous Neumann Problem with Critical Weight Hardy-Sobolev Exponent and Boundary Singularities |
Received:October 20, 2018 |
DOI:10.16205/j.cnki.cama.2019.0026 |
中文关键词: Neumann problem, Boundary singularities, Ekeland's variational principle |
英文关键词:Neumann problem, Boundary singularities, Ekeland's variational principle |
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中文摘要: |
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. |
英文摘要: |
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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