HOPF FIBRATION AND SINGULARLY PERTURBED ELLIPTIC EQUATIONS

被引：2
作者：
Ruf, Bernhard [1 ]
Srikanth, P. N. [2 ]
机构：
[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy
[2] TIFR CAM, Bangalore 560065, Karnataka, India
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2014年 / 7卷 / 04期
关键词：
Hopf fibration; qualitative properties of solutions; concentration on manifolds; superlinear elliptic equation; supercritical growth; SCHRODINGER-EQUATION; EXISTENCE; SYMMETRY; CURVES;
D O I：
10.3934/dcdss.2014.7.823
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we show how the Hopf fibration can be used to generate special solutions of singularly perturbed elliptic equations on annuli. Indeed, by the Hopf fibration the equation can be reduced to a lower dimensional problem, to which known results on single (or multiple point) concentration can be applied. Reversing the reduction process, one obtains solutions concentrating on circles and spheres, which are given as the fibres of the Hopf fibration
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页码：823 / 838
页数：16
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