Monotonicity formula and epsilon-regularity of stable solutions to supercritical problems and applications to finite Morse index solutions
文献类型：期刊论文
| 作者 | Du, Yihong1; Guo, Zongming2; Wang, Kelei3 |
| 刊名 | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2014-07-01 |
| 卷号 | 50期号:3-4页码:615-638 |
| 关键词 | Finite Morse index solutions Monotonicity formula epsilon-Regularity Supercritical exponent Asymptotic behavior Liouville theorem |
| 英文摘要 | We prove a monotonicity formula and an -regularity theorem for stable solutions to a class of weighted supercritical semilinear elliptic equations. We then use them to study the behavior of finite Morse index solutions and obtain some sharp results, which improve those of Dancer et al. (J Differ Equ 250:3281-3310, 2011) and Du and Guo (Adv Differ Eqns 2013) and completely answer the questions left open there. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | SEMILINEAR ELLIPTIC-EQUATIONS ; WEAK SOLUTIONS ; NEGATIVE EXPONENT ; R-N ; INEQUALITIES ; SYMMETRY ; DOMAINS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000337279700007 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1405]  |
| 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.Univ New England, Sch Sci & Technol, Armidale, NSW 2351, Australia 2.Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China 3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Du, Yihong,Guo, Zongming,Wang, Kelei. Monotonicity formula and epsilon-regularity of stable solutions to supercritical problems and applications to finite Morse index solutions[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2014,50(3-4):615-638. |
| APA | Du, Yihong,Guo, Zongming,&Wang, Kelei.(2014).Monotonicity formula and epsilon-regularity of stable solutions to supercritical problems and applications to finite Morse index solutions.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,50(3-4),615-638. |
| MLA | Du, Yihong,et al."Monotonicity formula and epsilon-regularity of stable solutions to supercritical problems and applications to finite Morse index solutions".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 50.3-4(2014):615-638. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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