Results on entire solutions for a degenerate critical elliptic equation with anisotropic coefficients
文献类型：期刊论文
| 作者 | Chen ShaoWei2; Lin LiShan1 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2011-02-01 |
| 卷号 | 54期号:2页码:221-242 |
| 关键词 | weighted Sobolev inequalities Harnack inequality moving sphere method variational identities |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-010-4118-0 |
| 英文摘要 | In this paper, we study the following degenerate critical elliptic equation with anisotropic coefficients -duv(vertical bar x(N)vertical bar(2 alpha)del u) = K(x)vertical bar x(N)vertical bar(alpha.2)*((s)) (s)vertical bar u vertical bar(2)*((s)) (2)u in R(N), where x = (x1, ... , x(N)) is an element of R(N), N >= 3, alpha > 1/2, 0 <= s <= 2 and 2* (s) = 2(N - s)/(N - 2). Some basic properties of the degenerate elliptic operator -div(vertical bar x(N)vertical bar(2 alpha a)del u) are investigated and some regularity, symmetry and uniqueness results for entire solutions of this equation are obtained. We also get some variational identities for solutions of this equation. As consequences, we obtain some nonexistence results for this equation. |
| 资助项目 | National Natural Science Foundation of China[10901112] ; National Natural Science Foundation of China[11001255] ; Beijing Natural Science Foundation[1102013] ; China Postdoctoral Science Foundation[20090460548] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000287200600002 |
| 出版者 | SCIENCE CHINA PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11417]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Lin LiShan |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen ShaoWei,Lin LiShan. Results on entire solutions for a degenerate critical elliptic equation with anisotropic coefficients[J]. SCIENCE CHINA-MATHEMATICS,2011,54(2):221-242. |
| APA | Chen ShaoWei,&Lin LiShan.(2011).Results on entire solutions for a degenerate critical elliptic equation with anisotropic coefficients.SCIENCE CHINA-MATHEMATICS,54(2),221-242. |
| MLA | Chen ShaoWei,et al."Results on entire solutions for a degenerate critical elliptic equation with anisotropic coefficients".SCIENCE CHINA-MATHEMATICS 54.2(2011):221-242. |
入库方式： OAI收割
来源：数学与系统科学研究院
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