Quasilinear Schrodinger equations with bounded coefficients

doi:10.1088/1361-6544/ac821b

CSpace

	Quasilinear Schrodinger equations with bounded coefficients
	Jing, Yongtao 1; Liu, Haidong 2; Zhang, Zhitao 3,4,5
	2022-10-06
发表期刊	NONLINEARITY
ISSN	0951-7715
卷号	35 期号:10 页码:4939-4985
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.
关键词	quasilinear Schrodinger equation variational method multiple solutions sign-changing solutions
DOI	10.1088/1361-6544/ac821b
收录类别	SCI
语种	英语
资助项目	NSFC[11901017] ; NSFC[12171204] ; NSFC[12031015] ; NSFC[11771428] ; NSFC[12026217] ; ZJNSF[LY21A010020]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000859301900001
出版者	IOP Publishing Ltd
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60954
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.Beijing Technol & Business Univ, Sch Math & Stat, Beijing, Peoples R China 2.Jiaxing Univ, Inst Math, Jiaxing, Zhejiang, Peoples R China 3.Jiangsu Univ, Sch Math Sci, Zhenjiang, Jiangsu, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, HLM, Beijing, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, 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.