A proof of Hessian Sobolev inequality
文献类型：期刊论文
| 作者 | Li, Shuxuan |
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2011-07-01 |
| 卷号 | 74期号:11页码:3716-3727 |
| 关键词 | Hessian Sobolev inequality Hessian equation A priori estimates |
| 产权排序 | 第一 |
| 通讯作者 | Li,SX |
| 英文摘要 | In this paper, taking the Hessian Sobolev inequality (0 < p <= k) (X.-J. Wang, 1994 [2]) as the starting point, we give a proof of the Hessian Sobolev inequality when k < p <= k*, where k* is the critical Sobolev embedding index of k-Hessian type. We also prove that k* is optimal by one-dimensional Hardy's inequality. (C) 2011 Elsevier Ltd. All rights reserved. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | 偏微分方程 |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | ELLIPTIC-EQUATIONS ; YAMABE PROBLEM |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000290021800029 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1844]  |
| 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 | Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Shuxuan. A proof of Hessian Sobolev inequality[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2011,74(11):3716-3727. |
| APA | Li, Shuxuan.(2011).A proof of Hessian Sobolev inequality.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,74(11),3716-3727. |
| MLA | Li, Shuxuan."A proof of Hessian Sobolev inequality".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 74.11(2011):3716-3727. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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