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.

引用

页码：837 / 857

页数：21

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