Elliptic equations in R-2 with one-sided exponential growth
文献类型：期刊论文
| 作者 | Zhang, ZT ; Calanchi, M; Ruf, B
|
| 刊名 | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
 |
| 出版日期 | 2004-12-01 |
| 卷号 | 6期号:6页码:947-971 |
| 关键词 | critical points one-sided exponential growth sign-changing solutions critical growth |
| ISSN号 | 0219-1997 |
| 英文摘要 | We consider elliptic equations in bounded domains Omega subset of R-2 with nonlinearities which have exponential growth at +infinity (subcritical and critical growth, respectively) and linear growth lambda at -infinity, with lambda > lambda(1), the first eigen value of the Laplacian. We prove that such equations have at least two solutions for certain forcing terms; one solution is negative: the other one is sign-changing. Some critical groups and Morse index of these solutions are given. Also the case lambda < lambda(1) is considered. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000226472100006 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/635]  |
| 专题 | 数学所 |
| 通讯作者 | Zhang, ZT |
| 作者单位 | 1.Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, ZT,Calanchi, M,Ruf, B. Elliptic equations in R-2 with one-sided exponential growth[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2004,6(6):947-971. |
| APA | Zhang, ZT,Calanchi, M,&Ruf, B.(2004).Elliptic equations in R-2 with one-sided exponential growth.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,6(6),947-971. |
| MLA | Zhang, ZT,et al."Elliptic equations in R-2 with one-sided exponential growth".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 6.6(2004):947-971. |
入库方式： OAI收割
来源：数学与系统科学研究院
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