Interior and boundary peak solutions for a mixed boundary value problem

被引：0

作者：

Dancer, EN ^{[1
]}

Yan, SS ^{[1
]}

机构：

[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 1999年 / 48卷 / 04期

关键词：

nonlinear partial differential equations; small diffusion;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to study the effect of the domain topology on the existence of solutions with arbitrarily many peaks in the interior of the domain and arbitrarily many peaks on the boundary of the domain for a singularly perturbed mixed boundary value problem.

引用

页码：1177 / 1212

页数：36

共 39 条

[1] Bahri A., 1989, PITMAN RES NOTES MAT, V182, pvi+I15+307
[2] BATES P, EQUILIBRIA MANY NUCL
[3] Bates P., 1999, ADV DIFFERENTIAL EQU, V4, P1
[4] THE EFFECT OF THE DOMAIN TOPOLOGY ON THE NUMBER OF POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC PROBLEMS
BENCI, V
CERAMI, G
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1991, 114 (01) : 79 - 93
[5] Benci V., 1993, NONLINEAR ANAL TRIBU, P93
[6] Cao D., 1996, Discrete Contin. Dynam. Syst, V2, P221, DOI [10.3934/dcds.1996.2.221, DOI 10.3934/DCDS.1996.2.221]
[7] CAO D, MULTIPEAK SOLUTIONS
[8] On the existence of multipeaked solutions to a semilinear Neumann problem
Cao, DM
Küpper, T
[J]. DUKE MATHEMATICAL JOURNAL, 1999, 97 (02) : 261 - 300
[9] Multiplicity of multiple interior peak solutions for some singularly perturbed Neumann problems
Cerami, G
Wei, JC
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 1998, 1998 (12) : 601 - 626
[10] Multipeak solutions for a singularly perturbed Neumann problem
Dancer, EN
Yan, SS
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1999, 189 (02) : 241 - 262

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