Quasilinear Schrodinger-Poisson equations involving a nonlocal term and an integral constraint

doi:10.1007/s11425-020-1885-6

CSpace

	Quasilinear Schrodinger-Poisson equations involving a nonlocal term and an integral constraint
	Dong, Xiaojing 1,2; Mao, Anmin 3
	2021-11-11
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
页码	28
摘要	In this paper, we consider a class of quasilinear Schrodinger-Poisson problems of the form {-(a +b integral(RN) vertical bar del vertical bar(2) dx)Delta u + V(x)u + phi u - 1/2u Delta(u(2)) - lambda vertical bar u vertical bar(p-2) u = 0 in R-N, -Delta phi = u(2), u(x) -> 0, vertical bar x vertical bar -> infinity in RN, integral(RN)vertical bar u vertical bar(p)dx = 1, where a > 0, b >= 0, N >= 3, lambda appears as a Lagrangian multiplier, and 4 < p < 2 . 2* = 4N/N-2. We deal with two different cases simultaneously, namely lim(vertical bar x vertical bar ->infinity) V (x) = infinity and lim(vertical bar x vertical bar ->infinity) V (x) = V-infinity. By using the method of invariant sets of the descending flow combined with the genus theory, we prove the existence of infinitely many sign-changing solutions. Our results extend and improve some recent work.
关键词	quasilinear problem nonlocal term sign-changing solutions genus theory
DOI	10.1007/s11425-020-1885-6
收录类别	SCI
语种	英语
资助项目	Shandong Natural Science Foundation of China[ZR2020MA005]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000719278400001
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59605
专题	中国科学院数学与系统科学研究院
通讯作者	Mao, Anmin
作者单位	1.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China 2.Acad Math & Syst Sci, Chinese Acad Sci, Beijing 100190, Peoples R China 3.Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
推荐引用方式 GB/T 7714	Dong, Xiaojing,Mao, Anmin. Quasilinear Schrodinger-Poisson equations involving a nonlocal term and an integral constraint[J]. SCIENCE CHINA-MATHEMATICS,2021:28.
APA	Dong, Xiaojing,&Mao, Anmin.(2021).Quasilinear Schrodinger-Poisson equations involving a nonlocal term and an integral constraint.SCIENCE CHINA-MATHEMATICS,28.
MLA	Dong, Xiaojing,et al."Quasilinear Schrodinger-Poisson equations involving a nonlocal term and an integral constraint".SCIENCE CHINA-MATHEMATICS (2021):28.