Multiple solutions of Schrodinger equations with indefinite linear part and super or asymptotically linear terms
文献类型：期刊论文
| 作者 | Ding, YH; Lee, C |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2006-03-01 |
| 卷号 | 222期号:1页码:137-163 |
| 关键词 | Schrodinger equation indefinite asymptotically linear infinitely many solutions |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2005.03.011 |
| 英文摘要 | Based on new information concerning strongly indefinite functionals without Palais-Smale conditions, we study existence and multiplicity of solutions of the Schrodinger equation -Delta u + V(x)u = g(x,u) for x is an element of R-N, u(x) -> 0 as vertical bar x vertical bar -> infinity. where V and g are periodic with respect to x and 0 lies in a gap sigma(-Delta+V). Supposing g is asymptotically linear as vertical bar u vertical bar -> infinity and symmetric in u, we obtain infinitely many geometrically distinct solutions. We also consider the situation where g is super linear with mild assumptions different from those studied previously, and establish the existence and multiplicity. (c) 2005 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000235561300005 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3287]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ding, YH |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 2.Natl Changhua Univ Educ, Dept Math, Changhua 50057, Taiwan |
| 推荐引用方式 GB/T 7714 | Ding, YH,Lee, C. Multiple solutions of Schrodinger equations with indefinite linear part and super or asymptotically linear terms[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2006,222(1):137-163. |
| APA | Ding, YH,&Lee, C.(2006).Multiple solutions of Schrodinger equations with indefinite linear part and super or asymptotically linear terms.JOURNAL OF DIFFERENTIAL EQUATIONS,222(1),137-163. |
| MLA | Ding, YH,et al."Multiple solutions of Schrodinger equations with indefinite linear part and super or asymptotically linear terms".JOURNAL OF DIFFERENTIAL EQUATIONS 222.1(2006):137-163. |
入库方式： OAI收割
来源：数学与系统科学研究院
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