| Nontrivial solutions for some singular critical growth semilinear elliptic equations | |
| He, Xiaoming ; Zou, Wenming | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | singular elliptic equation Hardy-Sobolev critical exponent nontrivial solutions variational method CRITICAL SOBOLEV EXPONENTS POSITIVE SOLUTIONS EXTREMAL-FUNCTIONS EXISTENCE INEQUALITIES Mathematics, Applied Mathematics |
| 中文摘要 | Let Omega be a bounded domain in R-N (N >= 5) with smooth boundary partial derivative Omega and the origin 0 epsilon Omega, mu < <(mu)over bar> = ((N - 2)/2)(2), 2* = 2N/(N - 2), K(x) is a bounded positive function on (Omega) over bar. We prove the existence results for nontrivial solutions to the Dirichlet problem -Delta u = mu u/ |x|(2) + K(x)|u|2*-2 + lambda u in Omega, u = 0 on delta Omega, for suitable numbers mu and lambda. (C) 2007 Elsevier Ltd. All rights reserved. |
| 语种 | 英语 ; 英语 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD ; OXFORD ; THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/13797]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | He, Xiaoming,Zou, Wenming. Nontrivial solutions for some singular critical growth semilinear elliptic equations[J],2010, 2010. |
| APA | He, Xiaoming,&Zou, Wenming.(2010).Nontrivial solutions for some singular critical growth semilinear elliptic equations.. |
| MLA | He, Xiaoming,et al."Nontrivial solutions for some singular critical growth semilinear elliptic equations".(2010). |
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