Concentration of Solutions for Some Singularly Perturbed Neumann Problems

被引：2
|
作者：
Malchiodi, Andrea [1 ]
机构：
[1] SISSA, Sector Math Anal, I-34014 Trieste, Italy
来源：
GEOMETRIC ANALYSIS AND PDES | 2009年 / 1977卷
关键词：
NONLINEAR SCHRODINGER-EQUATIONS; BOUNDARY PEAK SOLUTIONS; MULTIPEAK SOLUTIONS; SEMICLASSICAL STATES; ELLIPTIC-EQUATIONS; LAYER SOLUTIONS; GROUND-STATES; EXISTENCE; STABILITY; INTERIOR;
D O I：
10.1007/978-3-642-01674-5_3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of these notes is to present some techniques for constructing solutions to a class of singularly perturbed problems with a precise asymptotic behavior when the perturbation parameter ε tends to zero. We first treat the case of concentration at points, and then the case of concentration at manifolds. One of the main motivations for the study of these equations arises from reaction-diffusion systems, concerning in particular the so-called Turing's instability. © 2009 Springer-Verlag Berlin Heidelberg.
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页码：63 / 115
页数：53
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