KMS Of Academy of mathematics and systems sciences, CAS
REMARKS ON THE CLARK THEOREM | |
Jiang, Guosheng1; Tanaka, Kazunaga2; Zhang, Chengxiang3,4,5 | |
2017 | |
发表期刊 | JOURNAL OF NONLINEAR AND CONVEX ANALYSIS |
ISSN | 1345-4773 |
卷号 | 18期号:8页码:1421-1434 |
摘要 | The Clark theorem is important in critical point theory. For a class of even functionals it ensures the existence of infinitely many negative critical values converging to 0 and it has important applications to sublinear elliptic problems. We study the convergence of the corresponding critical points and we give a characterization of accumulation points of critical points together with examples, in which critical points with negative critical values converges to non-zero critical point. Our results improve the abstract results in Kajikiya [4] and Liu-Wang [7]. |
关键词 | Clark theorem genus minimax method |
语种 | 英语 |
资助项目 | JSPS[25287025] ; Waseda University[2016B-120] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000413881400002 |
出版者 | YOKOHAMA PUBL |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/26949 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Tanaka, Kazunaga |
作者单位 | 1.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China 2.Waseda Univ, Sch Sci & Engn, Dept Math, Shinjuku Ku, Tokyo 1698555, Japan 3.Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China 4.Nankai Univ, LPMC, Tianjin 300071, Peoples R China 5.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Jiang, Guosheng,Tanaka, Kazunaga,Zhang, Chengxiang. REMARKS ON THE CLARK THEOREM[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS,2017,18(8):1421-1434. |
APA | Jiang, Guosheng,Tanaka, Kazunaga,&Zhang, Chengxiang.(2017).REMARKS ON THE CLARK THEOREM.JOURNAL OF NONLINEAR AND CONVEX ANALYSIS,18(8),1421-1434. |
MLA | Jiang, Guosheng,et al."REMARKS ON THE CLARK THEOREM".JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 18.8(2017):1421-1434. |
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