Solutions to nonlinear Neumann problems with an inverse square potential

doi:10.1007/s00526-007-0090-0

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	Solutions to nonlinear Neumann problems with an inverse square potential
	Han, Pigong; Liu, Zhaoxia
	2007-11-01
发表期刊	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0944-2669
卷号	30 期号:3 页码:315-352
摘要	Let Omega be an open bounded domain in R-N( N = 3) with smooth boundary a Omega, 0 epsilon a Omega. We are concerned with the critical Neumann problem {-Delta u-u u/vertical bar x vertical bar 2 + lambda u = Q (x) vertical bar u vertical bar(2-2)u in Omega, au/av =0 on a Omega where 0 < u < u = (N-2/2)(2), 2 = 2N/N-2, lambda > 0 and Q(x) is a positive continuous function on ohm. Using Moser iteration, we give an asymptotic characterization of solutions for () at the origin. Under some conditions on Q, mu, we, by means of a variational method, prove that there exists lambda 0 = lambda 0(mu) > 0 such that for every lambda > lambda 0, problem () has a positive solution and a pair of sign-changing solutions.
DOI	10.1007/s00526-007-0090-0
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000248326100003
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4217
专题	应用数学研究所
通讯作者	Han, Pigong
作者单位	1.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Natl Cent Univ, Sch Math & Comp Sci, Beijing 100081, Peoples R China
推荐引用方式 GB/T 7714	Han, Pigong,Liu, Zhaoxia. Solutions to nonlinear Neumann problems with an inverse square potential[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2007,30(3):315-352.
APA	Han, Pigong,&Liu, Zhaoxia.(2007).Solutions to nonlinear Neumann problems with an inverse square potential.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,30(3),315-352.
MLA	Han, Pigong,et al."Solutions to nonlinear Neumann problems with an inverse square potential".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 30.3(2007):315-352.