Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities
文献类型：期刊论文
| 作者 | Bartsch, Thomas; Peng, Shuangjie; Zhang, Zhitao |
| 刊名 | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2007-09-01 |
| 卷号 | 30期号:1页码:113-136 |
| ISSN号 | 0944-2669 |
| DOI | 10.1007/s00526-006-0086-1 |
| 英文摘要 | We investigate elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities: -div(|x|(alpha)|del u vertical bar(p-2)del u) = |x|(beta)u(P(alpha,beta)-1), u(x) > 0, x.is an element of Omega subset of R-N (N = 3), 1 < p < N and alpha, beta is an element of R such that (p(N+beta))/(N-p+alpha) . For various parameters alpha, beta and various domains Omega, we establish some existence and non-existence results of solutions in rather general, possibly degenerate or singular settings. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000247271800005 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4076]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Bartsch, Thomas |
| 作者单位 | 1.Univ Giessen, Inst Math, D-35392 Giessen, Germany 2.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bartsch, Thomas,Peng, Shuangjie,Zhang, Zhitao. Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2007,30(1):113-136. |
| APA | Bartsch, Thomas,Peng, Shuangjie,&Zhang, Zhitao.(2007).Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,30(1),113-136. |
| MLA | Bartsch, Thomas,et al."Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 30.1(2007):113-136. |
入库方式： OAI收割
来源：数学与系统科学研究院
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