An elliptic equation with concave and convex nonlinearities
文献类型：期刊论文
| 作者 | Liu, SB; Li, SJ |
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2003-06-01 |
| 卷号 | 53期号:6页码:723-731 |
| 关键词 | p-Laplacian critical points (PS) condition Z(2)-genus |
| ISSN号 | 0362-546X |
| DOI | 10.1016/S0362-546X(03)00020-8 |
| 英文摘要 | We obtain infinitely many solutions for the problem -Delta(p)u - lambdag(x)\u\(p-2)u = k(x)\u\(q-2)u-h(x)\u\(s-2)u in R-N, where N greater than or equal to 3, 1 < q < p < s. Our result extends those of Tonkes (Topology Methods Nonlinear Anal. 13 (1999) 251) in two aspects: we don't require s less than or equal to p*, and the requirements on the weight h also be relaxed. (C) 2003 Elsevier Science Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000182287800001 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18427]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, SB |
| 作者单位 | Acad Sinica, Math Inst, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, SB,Li, SJ. An elliptic equation with concave and convex nonlinearities[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2003,53(6):723-731. |
| APA | Liu, SB,&Li, SJ.(2003).An elliptic equation with concave and convex nonlinearities.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,53(6),723-731. |
| MLA | Liu, SB,et al."An elliptic equation with concave and convex nonlinearities".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 53.6(2003):723-731. |
入库方式： OAI收割
来源：数学与系统科学研究院
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