Nonlinear elliptic equations on the upper half space

doi:10.1142/S0219199720500856

CSpace

	Nonlinear elliptic equations on the upper half space
	Tang, Sufang 1; Wang, Lei 2,3,4; Zhu, Meijun 4
	2022-02-01
发表期刊	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
ISSN	0219-1997
卷号	24 期号:01 页码:20
摘要	In this paper, we shall classify all positive solutions of Delta u = au(p) on the upper half space H = R-+(n) with nonlinear boundary condition partial derivative u/partial derivative t = bu(q) on partial derivative H for parameters a > 0 and b < 0. We will prove that for p >= (n + 2)/(n - 2), 1 <= q < n/(n - 2) or p > (n + 2)/(n - 2), 1 <= q <= n/(n - 2) (and n >= 3) all positive solutions are functions of last variable; for p= (n + 2)/(n - 2), q= n/(n - 2) (and n >= 3) positive solutions must be either some functions depending only on last variable, or radially symmetric functions.
关键词	Curvature equation Kelvin transform moving plane method moving sphere method
DOI	10.1142/S0219199720500856
收录类别	SCI
语种	英语
资助项目	China Scholarship Council ; National Natural Science Foundation of China[11571344] ; Natural Science Basic Research Plan in Shaanxi Province of China[2017JQ1022]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000752945700003
出版者	WORLD SCIENTIFIC PUBL CO PTE 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/59993
专题	中国科学院数学与系统科学研究院
通讯作者	Zhu, Meijun
作者单位	1.Xian Univ Finance & Econ, Sch Stat, Xian 710100, Shaanxi, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Univ Oklahoma, Dept Math, Norman, OK 73019 USA
推荐引用方式 GB/T 7714	Tang, Sufang,Wang, Lei,Zhu, Meijun. Nonlinear elliptic equations on the upper half space[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2022,24(01):20.
APA	Tang, Sufang,Wang, Lei,&Zhu, Meijun.(2022).Nonlinear elliptic equations on the upper half space.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,24(01),20.
MLA	Tang, Sufang,et al."Nonlinear elliptic equations on the upper half space".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 24.01(2022):20.