Bound states for semilinear Schrodinger equations with sign-changing potential

doi:10.1007/s00526-006-0071-8

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	Bound states for semilinear Schrodinger equations with sign-changing potential
	Ding, Yanheng; Szulkin, Andrzej
	2007-07-01
发表期刊	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0944-2669
卷号	29 期号:3 页码:397-419
摘要	We study the existence and the number of decaying solutions for the semilinear Schrodinger equations - epsilon(2)Delta u + V( x) u = g( x, u), epsilon > 0 small, and - Delta u + lambda V(x) u = g( x, u) lambda > 0 large. The potential V may change sign and g is either asymptotically linear or superlinear ( but subcritical) in u as vertical bar u vertical bar -> infinity.
DOI	10.1007/s00526-006-0071-8
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000246113100005
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/4758
专题	数学所
通讯作者	Szulkin, Andrzej
作者单位	1.Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden 2.Chinese Acad Sci, AMSS, Math Inst, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ding, Yanheng,Szulkin, Andrzej. Bound states for semilinear Schrodinger equations with sign-changing potential[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2007,29(3):397-419.
APA	Ding, Yanheng,&Szulkin, Andrzej.(2007).Bound states for semilinear Schrodinger equations with sign-changing potential.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,29(3),397-419.
MLA	Ding, Yanheng,et al."Bound states for semilinear Schrodinger equations with sign-changing potential".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 29.3(2007):397-419.