Stability of solutions of varying degenerate elliptic equations
文献类型：期刊论文
| 作者 | Li, GB; Martio, O |
| 刊名 | INDIANA UNIVERSITY MATHEMATICS JOURNAL
 |
| 出版日期 | 1998-09-01 |
| 卷号 | 47期号:3页码:873-891 |
| 英文摘要 | Let 1 < p(0) < infinity, s > p(0) and P-i --> p(0). For fixed psi, theta is an element of W-1,W- s(Omega) consider the solution u(i) to the obstacle problem associated with a second order quasilinear degenerate elliptic equation del . A(pi) (x, del u) = 0 with obstacle psi and boundary values theta. Here \A(pi)(x, xi)\ approximate to \xi\(pi) and the functions A(pi) have uniformly bounded structure constants. If for a.e. x is an element of Omega, A(pi) (x, xi) --> A(p0) (x, xi) uniformly on compact subsets of R-n, then it is shown that u(i) --> u(0) in W-1,W- t(Omega) where u(0) is the corresponding solution to del.A(p0) (x, del u) = 0 and t > p(0) depends on n, s, p(0), the structure constants, and the regularity of Omega. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000078096400002 |
| 公开日期 | 2015-12-01 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/8288]  |
| 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.Chinese Acad Sci, Wuhan Inst Phys & Math, Phys Mat Lab, Wuhan 430071, Peoples R China 2.Univ Helsinki, Dept Math, FIN-00014 Helsinki, Finland |
| 推荐引用方式 GB/T 7714 | Li, GB,Martio, O. Stability of solutions of varying degenerate elliptic equations[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL,1998,47(3):873-891. |
| APA | Li, GB,&Martio, O.(1998).Stability of solutions of varying degenerate elliptic equations.INDIANA UNIVERSITY MATHEMATICS JOURNAL,47(3),873-891. |
| MLA | Li, GB,et al."Stability of solutions of varying degenerate elliptic equations".INDIANA UNIVERSITY MATHEMATICS JOURNAL 47.3(1998):873-891. |
入库方式： OAI收割
来源：武汉物理与数学研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。