Neumann problems of a class of elliptic equations with doubly critical Sobolev exponents
文献类型：期刊论文
| 作者 | Han, PG; Han Pigong
|
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2004-10-01 |
| 卷号 | 24期号:4页码:633-638 |
| 关键词 | Neumann problem semilinear elliptic equation (PS)(c)(center dot) condition critical Sobolev exponent |
| ISSN号 | 0252-9602 |
| 英文摘要 | This paper deals with the Neumann problem for a class of semilinear elliptic equations -Deltau + u = |u|(2* - 2)u+mu|u|(q- 2)u in Omega, (partial derivativeu)/(partial derivativey) = |u|(s* - 2)u on partial derivativeOmega, where 2(+) = (2N)/(N-2), s(+) = (2(N-1))/(N-2), 1 < q < 2, N greater than or equal to 3, mu > 0, gamma denotes the unit outward normal to boundary partial derivativeOmega. By variational method and dual fountain theorem, the existence of infinitely many solutions with negative energy is proved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000225111100016 |
| 出版者 | KLUWER ACADEMIC PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19750]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Han, PG |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Han, PG,Han Pigong. Neumann problems of a class of elliptic equations with doubly critical Sobolev exponents[J]. ACTA MATHEMATICA SCIENTIA,2004,24(4):633-638. |
| APA | Han, PG,&Han Pigong.(2004).Neumann problems of a class of elliptic equations with doubly critical Sobolev exponents.ACTA MATHEMATICA SCIENTIA,24(4),633-638. |
| MLA | Han, PG,et al."Neumann problems of a class of elliptic equations with doubly critical Sobolev exponents".ACTA MATHEMATICA SCIENTIA 24.4(2004):633-638. |
入库方式： OAI收割
来源：数学与系统科学研究院
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