Nodal solutions for a supercritical semilinear problem with variable exponent
文献类型：期刊论文
| 作者 | Cao, Daomin1,2 ; Li, Shuanglong2; Liu, Zhongyuan3
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| 刊名 | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2018-04-01 |
| 卷号 | 57期号:2页码:19 |
| ISSN号 | 0944-2669 |
| DOI | 10.1007/s00526-018-1305-2 |
| 英文摘要 | In this paper, we are concerned with the following nonlinear supercritical elliptic problem with variable exponent, {- Delta u = vertical bar u vertical bar(2*+vertical bar x vertical bar alpha-2)u, in B-1 (0), u = 0, on partial derivative B-1 (0), where 2* = 2N/N-2, 0 < alpha < min{N/2, N - 2}, and B-1(0) is the unit ball in R-N, N >= 3. For any k is an element of N, we find, by variational methods, a pair of nodal solutions for this problem, which has exactly k nodal points. |
| 资助项目 | NSFC[11771469] ; NSFC[11688101] ; NSFC[11501166] ; Key Laboratory of Random Complex Strutures and Data Science |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000431004800005 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30224]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Liu, Zhongyuan |
| 作者单位 | 1.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Guangdong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Henan Univ, Sch Math & Stat, Kaifeng 475004, Henan, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Daomin,Li, Shuanglong,Liu, Zhongyuan. Nodal solutions for a supercritical semilinear problem with variable exponent[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2018,57(2):19. |
| APA | Cao, Daomin,Li, Shuanglong,&Liu, Zhongyuan.(2018).Nodal solutions for a supercritical semilinear problem with variable exponent.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,57(2),19. |
| MLA | Cao, Daomin,et al."Nodal solutions for a supercritical semilinear problem with variable exponent".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 57.2(2018):19. |
入库方式： OAI收割
来源：数学与系统科学研究院
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