Existence of solutions for semilinear elliptic equations involving critical Sobolev exponents and Hardy terms
文献类型：期刊论文
| 作者 | Han, PG; Han Pigong
|
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2005-07-01 |
| 卷号 | 25期号:3页码:533-544 |
| 关键词 | semilinear elliptic equation dual variational functional critical point asymmetric nonlinearity |
| ISSN号 | 0252-9602 |
| 英文摘要 | This paper deals with the existence of solutions to the elliptic equation -Delta u-mu u/vertical bar x vertical bar(2) = lambda u + vertical bar u vertical bar(2*-2)u + f(x,u) in Omega, u = 0 on partial derivative Omega, where Omega is a bounded domain in R-N (N >= 3), 0 is an element of Omega, 2* = 2N/N-2, lambda > 0, lambda is not an element of sigma(mu), sigma(mu) is the spectrum of the operator -Delta- mu I/vertical bar x vertical bar 2 with zero Dirichlet boundary condition, 0 < mu <(mu) over bar, (mu) over bar = (N-2)(2)/4, f(x,u) is an asymmetric lower order perturbation of vertical bar u vertical bar(2*-1) at infinity. Using the dual variational methods, the existence of nontrivial solutions is proved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000230984700017 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1603]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Han, PG |
| 作者单位 | Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Han, PG,Han Pigong. Existence of solutions for semilinear elliptic equations involving critical Sobolev exponents and Hardy terms[J]. ACTA MATHEMATICA SCIENTIA,2005,25(3):533-544. |
| APA | Han, PG,&Han Pigong.(2005).Existence of solutions for semilinear elliptic equations involving critical Sobolev exponents and Hardy terms.ACTA MATHEMATICA SCIENTIA,25(3),533-544. |
| MLA | Han, PG,et al."Existence of solutions for semilinear elliptic equations involving critical Sobolev exponents and Hardy terms".ACTA MATHEMATICA SCIENTIA 25.3(2005):533-544. |
入库方式： OAI收割
来源：数学与系统科学研究院
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