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Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations II

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成果类型:
期刊论文
作者:
Bartsch, Thomas*;Peng, Shuangjie(彭双阶
通讯作者:
Bartsch, Thomas(彭双阶
作者机构:
[Bartsch, Thomas] Univ Giessen, Math Inst, D-35392 Giessen, Germany.
[Peng, Shuangjie] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Bartsch, Thomas] Univ Giessen, Math Inst, Arndtstr 2, D-35392 Giessen, Germany.
通讯机构:
[Bartsch, Thomas] U
Univ Giessen, Math Inst, Arndtstr 2, D-35392 Giessen, Germany.
语种:
英文
关键词:
Singularly perturbed elliptic equation;Variational methods;Critical point theory;Concentrating solutions;Spike layered solutions
期刊:
Journal of Differential Equations
ISSN:
0022-0396
年:
2010
卷:
248
期:
11
页码:
2746-2767
基金类别:
NSFCNational Natural Science Foundation of China (NSFC) [1063103]; NCETProgram for New Century Excellent Talents in University (NCET) [07-0350]; Key Project of Chinese Ministry of EducationMinistry of Education, China [107081]
机构署名:
本校为其他机构
院系归属:
数学与统计学学院
摘要:
We construct spike layered solutions for the semilinear elliptic equation -epsilon(2)Delta u + V (x)u = K(x)u(p-1) on a domain Omega subset of R(N) which may be bounded or unbounded. The solutions concentrate simultaneously on a finite number of m-dimensional spheres in Omega. These spheres accumulate as epsilon -> 0 at a prescribed sphere in Omega whose location is determined by the potential functions...

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