On a singular perturbed problem in an annulus

被引：0
|
作者：
Santra, Sanjiban [1 ]
Wei, Juncheng [2 ]
机构：
[1] Ctr Invest Math, Dept Basic Math, Guanajuato, Mexico
[2] Univ British Columbia, Dept Math, Vancouver, BC, Canada
来源：
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2016年 / 15卷
关键词：
SEMILINEAR NEUMANN PROBLEM; LEAST-ENERGY SOLUTIONS; SPIKE-LAYER SOLUTIONS; ELLIPTIC-EQUATIONS; PEAK SOLUTIONS; SYMMETRY; SPHERES; EXISTENCE;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove the conjecture due to Ruf-Srikanth [14]. We prove the existence of positive solution under Dirichlet and Neumann boundary conditions, which concentrate near the inner boundary and outer boundary of an annulus respectively as epsilon -> 0. In fact, our result is independent of the dimension of R-N.
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页码：837 / 857
页数：21
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