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Quasilinear Schrodinger equations with bounded coefficients

文献类型：期刊论文

作者Jing, Yongtao2; Liu, Haidong3; Zhang, Zhitao1,4,5
刊名NONLINEARITY
出版日期2022-10-06
卷号35期号:10页码:4939-4985
关键词quasilinear Schrodinger equation variational method multiple solutions sign-changing solutions
ISSN号0951-7715
DOI10.1088/1361-6544/ac821b
英文摘要We study quasilinear elliptic equations of the form -div(A(u)del u) + 1/2A'(u)vertical bar del u vertical bar(2) + V(x)u = h(u), u is an element of H-1 (R-N), where N >= 3, A is an element of C-1 (R, R+) is a bounded function, V(x) is allowed to be singular at the origin, and h is an element of C(R, R) is a general nonlinearity. Such type of equations has been derived as models of several physical phenomena corresponding to various types of A. Despite the lack of a priori compactness condition for the energy functional, we develop a new variational approach to deal with the issues of multiple radial solutions, nonradial solutions and sign-changing solutions.
资助项目NSFC[11901017] ; NSFC[12171204] ; NSFC[12031015] ; NSFC[11771428] ; NSFC[12026217] ; ZJNSF[LY21A010020]
WOS研究方向Mathematics ; Physics
语种英语
WOS记录号WOS:000859301900001
出版者IOP Publishing Ltd
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60953]  
专题中国科学院数学与系统科学研究院
通讯作者Liu, Haidong
作者单位1.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
2.Beijing Technol & Business Univ, Sch Math & Stat, Beijing, Peoples R China
3.Jiaxing Univ, Inst Math, Jiaxing, Zhejiang, Peoples R China
4.Jiangsu Univ, Sch Math Sci, Zhenjiang, Jiangsu, Peoples R China
5.Chinese Acad Sci, Acad Math & Syst Sci, HLM, Beijing, Peoples R China
推荐引用方式
GB/T 7714		 Jing, Yongtao,Liu, Haidong,Zhang, Zhitao. Quasilinear Schrodinger equations with bounded coefficients[J]. NONLINEARITY,2022,35(10):4939-4985.
APA Jing, Yongtao,Liu, Haidong,&Zhang, Zhitao.(2022).Quasilinear Schrodinger equations with bounded coefficients.NONLINEARITY,35(10),4939-4985.
MLA Jing, Yongtao,et al."Quasilinear Schrodinger equations with bounded coefficients".NONLINEARITY 35.10(2022):4939-4985.

入库方式： OAI收割

来源：数学与系统科学研究院

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