Quasilinear elliptic problems with critical exponents and Hardy terms
文献类型：期刊论文
| 作者 | Han, P
|
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2005-05-31 |
| 卷号 | 61期号:5页码:735-758 |
| 关键词 | quasilinear elliptic equation energy functional Palais-Smale condition critical Sobolev exponent |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2005.01.030 |
| 英文摘要 | Let Omega there exists 0 be an open bounded domain, Omega subset of R-N (N > p(2)). We are concerned with the multiplicity of positive solutions of -Delta(p)u - mu vertical bar u vertical bar(p-2)u/vertical bar x vertical bar(p) = lambda vertical bar u vertical bar(p-2)u + Q(x)vertical bar u vertical bar(p*-2)u, u is an element of W-0(1,p) (Omega) where -Delta(p)u = -div(vertical bar del u vertical bar(p-2)del u), 1 < p < N, p* = Np/N - p, 0 < mu < (N - p/p)(p), lambda > 0 and Q(x) is a nonnegative function on Q. By investigating the effect of the coefficient of the critical nonlinearity, we, by means of variational method, prove the existence of multiple positive solutions. (c) 2005 Elsevier Ltd. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000228442200005 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1059]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Han, P |
| 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, P. Quasilinear elliptic problems with critical exponents and Hardy terms[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2005,61(5):735-758. |
| APA | Han, P.(2005).Quasilinear elliptic problems with critical exponents and Hardy terms.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,61(5),735-758. |
| MLA | Han, P."Quasilinear elliptic problems with critical exponents and Hardy terms".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 61.5(2005):735-758. |
入库方式： OAI收割
来源：数学与系统科学研究院
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