Variational approach to bifurcation from infinity for nonlinear elliptic problems

被引：2

作者：

Byeon, Jaeyoung ^{[1
]}

Lee, Youngae ^{[1
]}

机构：

[1] Pohang Univ Sci & Technol, Dept Math, Pohang 790784, Kyungbuk, South Korea

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2013年 / 143卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

LEAST-ENERGY SOLUTIONS; SCHRODINGER-EQUATIONS; STANDING WAVES; SEMICLASSICAL STATES; DIRICHLET PROBLEMS; FIELD-EQUATIONS; EXISTENCE;

D O I：

10.1017/S0308210511000801

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For any N >= 1 and sufficiently small epsilon > 0, we find a positive solution of a nonlinear elliptic equation Delta u = epsilon(2)(V(x)u - f(u)), x is an element of R-N, when lim(vertical bar x vertical bar ->infinity) V(x) = m > 0 and some optimal conditions on f are satisfied. Furthermore, we investigate the asymptotic behaviour of the solution as epsilon -> 0.

引用

页码：269 / 301

页数：33

共 36 条

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