Existence of solutions for elliptic equations with critical Sobolev-Hardy exponents
文献类型：期刊论文
| 作者 | Kang, DS; Peng, SJ |
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2004-03-01 |
| 卷号 | 56期号:8页码:1151-1164 |
| 关键词 | sign-changing solutions compactness critical Sobolev-Hardy exponents singularity |
| 英文摘要 | Let Omega subset of R-N be a smooth bounded domain such that 0 is an element of Omega, N less than or equal to 3, 0 greater than or equal to 3, 0 less than or equal to s < 2, 2* (s) := 2(N-s)/(N-2),2 < r < 2* := 2N/(N-2). Via the variational methods, We prove the existence of sign-changing solutions for the singular critical problem -Deltau - muu/\x\(2) = \u\(2* (s) - 2)/\x\s u + lambda\u\(r - 2)u with Dirichlet boundary condition on Omega for suitable positive parameters lambda and mu. (C) 2003 Elsevier Ltd. All rights reserved. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000220261300003 |
| 公开日期 | 2015-07-28 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/4376]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | 1.S Cent Univ Nationalities, Dept Math, Wuhan 430074, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Kang, DS,Peng, SJ. Existence of solutions for elliptic equations with critical Sobolev-Hardy exponents[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2004,56(8):1151-1164. |
| APA | Kang, DS,&Peng, SJ.(2004).Existence of solutions for elliptic equations with critical Sobolev-Hardy exponents.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,56(8),1151-1164. |
| MLA | Kang, DS,et al."Existence of solutions for elliptic equations with critical Sobolev-Hardy exponents".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 56.8(2004):1151-1164. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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