On the location and profile of spike-layer solutions to a singularly perturbed semilinear Dirichlet problem: Intermediate solutions

被引：53
作者：
Ni, WM [1 ]
Takagi, I
Wei, JC
机构：
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[2] Tohoku Univ, Math Inst, Sendai, Miyagi 98077, Japan
[3] Chinese Univ Hong Kong, Dept Math, Shatin, Peoples R China
来源：
DUKE MATHEMATICAL JOURNAL | 1998年 / 94卷 / 03期
关键词：
D O I：
10.1215/S0012-7094-98-09424-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：597 / 618
页数：22
相关论文
共 14 条
[1]  
Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7
[2]  
CLEMENT P, 1987, ANN SCUOLA NORM SUP, V14, P97
[3]   The wave of advance of advantageous genes [J].
Fisher, RA .
ANNALS OF EUGENICS, 1937, 7 :355-369
[4]   THE SET OF POSITIVE SOLUTIONS OF SEMILINEAR EQUATIONS IN LARGE BALLS [J].
GARDNER, R ;
PELETIER, LA .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1986, 104 :53-72
[5]   SYMMETRY AND RELATED PROPERTIES VIA THE MAXIMUM PRINCIPLE [J].
GIDAS, B ;
NI, WM ;
NIRENBERG, L .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 68 (03) :209-243
[6]  
Gilbarg D., 2015, Elliptic Partial Differential Equations of Second Order
[7]  
JANG J, 1994, COMMUNICATION
[8]   ON SPIKE SOLUTIONS OF SINGULARLY PERTURBED SEMILINEAR DIRICHLET PROBLEM [J].
JANG, JD .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 114 (02) :370-395
[9]  
Massey W.S., 1991, GRAD TEXTS MATH, V127
[10]   LOCATING THE PEAKS OF LEAST-ENERGY SOLUTIONS TO A SEMILINEAR NEUMANN PROBLEM [J].
NI, WM ;
TAKAGI, I .
DUKE MATHEMATICAL JOURNAL, 1993, 70 (02) :247-281
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