Infinitely many small solutions for the Kirchhoff equation with local sublinear nonlinearities
文献类型：期刊论文
| 作者 | Li, Lin1; Zhong, Xin2 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2016-03-01 |
| 卷号 | 435期号:1页码:955-967 |
| 关键词 | Kirchhoff equation Variational methods Local sublinear nonlinearities Symmetric mountain pass lemma |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2015.10.075 |
| 英文摘要 | We study the following nonlinear Kirchhoff equation on the whole space - (1 + b integral(R3) (vertical bar del u vertical bar(2) + V(x)u(2)) dx) [Delta u + V(x)u] = f(x, u) in R-3, where b > 0 is a constant and the nonlinear term f(x, u) is only locally defined for vertical bar u vertical bar small and satisfies some mild conditions. It is proved that the above problem admits infinity many weak solutions provided that some additional assumptions are satisfied. Moreover, we show that these solutions tend to zero in L-infinity(R-3). Our method relies upon a variant of the symmetric mountain pass lemma due to Kajikiya and Moser iteration method. (C) 2015 Elsevier Inc. All rights reserved. |
| 资助项目 | Chongqing Technology and Business University[2015-56-09] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000365928200058 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21467]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Lin |
| 作者单位 | 1.Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Lin,Zhong, Xin. Infinitely many small solutions for the Kirchhoff equation with local sublinear nonlinearities[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016,435(1):955-967. |
| APA | Li, Lin,&Zhong, Xin.(2016).Infinitely many small solutions for the Kirchhoff equation with local sublinear nonlinearities.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,435(1),955-967. |
| MLA | Li, Lin,et al."Infinitely many small solutions for the Kirchhoff equation with local sublinear nonlinearities".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 435.1(2016):955-967. |
入库方式： OAI收割
来源：数学与系统科学研究院
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