Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices
文献类型：期刊论文
| 作者 | Wu, Qiongli1,2; Gan, Liangcai1; Fan, Qingfeng3 |
| 刊名 | JOURNAL OF FUNCTION SPACES
 |
| 出版日期 | 2016 |
| 英文摘要 | We establish the nonexistence of solution for the following nonlinear elliptic problem with weights: -Delta u = (1 + vertical bar x vertical bar(alpha))vertical bar u vertical bar(p-1) u in R-N, where alpha is a positive parameter. Suppose that 1 < p < (N + 2)/(N - 2), alpha > (N - 2)(p + 1)/2 - N for N >= 3 or p > 1, alpha > -2 for N = 2; we will show that this equation does not possess nontrivial bounded solution with finite Morse index. |
| 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:000376340900001 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/9358]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Wuhan Univ, Elect Informat Sch, Wuhan 430071, Hubei, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China 3.Univ Versailles St Quentin, Lab Donnees & Algorithmes Ville Intelligente & Du, F-78035 Versailles, France |
| 推荐引用方式 GB/T 7714 | Wu, Qiongli,Gan, Liangcai,Fan, Qingfeng. Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices[J]. JOURNAL OF FUNCTION SPACES,2016. |
| APA | Wu, Qiongli,Gan, Liangcai,&Fan, Qingfeng.(2016).Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices.JOURNAL OF FUNCTION SPACES. |
| MLA | Wu, Qiongli,et al."Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices".JOURNAL OF FUNCTION SPACES (2016). |
入库方式： OAI收割
来源：武汉物理与数学研究所
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