Hardy-Sobolev inequalities in half-space and some semilinear elliptic equations with singular coefficients
文献类型：期刊论文
| 作者 | Chen, Shaowei; Li, Shujie |
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2007-01-15 |
| 卷号 | 66期号:2页码:324-348 |
| 关键词 | Hardy-Sobolev inequalities semilinear equations Palais-Smale sequence hyperbolic space |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2006.02.032 |
| 英文摘要 | We study some semilinear elliptic equations with singular coefficients which relate to some Hardy-Sobolev inequalities. We obtain some existence results for these equations and give a theorem for prescribing the Palais-Smale sequence for these equations. Moreover, we find some interesting connections between these equations and some semilinear elliptic equations in hyperbolic space. Using these connections, we obtain many new results for these equations. (c) 2006 Published by Elsevier Ltd. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000242976200004 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4539]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, Shaowei |
| 作者单位 | 1.Fujian Normal Univ, Dept Math, Fuzhou 350007, Peoples R China 2.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Shaowei,Li, Shujie. Hardy-Sobolev inequalities in half-space and some semilinear elliptic equations with singular coefficients[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2007,66(2):324-348. |
| APA | Chen, Shaowei,&Li, Shujie.(2007).Hardy-Sobolev inequalities in half-space and some semilinear elliptic equations with singular coefficients.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,66(2),324-348. |
| MLA | Chen, Shaowei,et al."Hardy-Sobolev inequalities in half-space and some semilinear elliptic equations with singular coefficients".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 66.2(2007):324-348. |
入库方式： OAI收割
来源：数学与系统科学研究院
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