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REMARKS ON THE CLARK THEOREM
Jiang, Guosheng1; Tanaka, Kazunaga2; Zhang, Chengxiang3,4,5
2017
Source PublicationJOURNAL OF NONLINEAR AND CONVEX ANALYSIS
ISSN1345-4773
Volume18Issue:8Pages:1421-1434
AbstractThe 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].
KeywordClark theorem genus minimax method
Language英语
Funding ProjectJSPS[25287025] ; Waseda University[2016B-120]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000413881400002
PublisherYOKOHAMA PUBL
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26949
Collection中国科学院数学与系统科学研究院
Corresponding AuthorTanaka, Kazunaga
Affiliation1.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
Recommended Citation
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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