A low-dimensional conjugacy for elliptic equations and symmetry breaking on rotated domains

被引：0

作者：

Armstrong, S

Schaaf, R

机构：

[1] Arkansas State Univ, Dept Math & Comp Sci, State Univ, AR 72467 USA

[2] Utah State Univ, Dept Math & Stat, Logan, UT 84321 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年 / 192卷 / 01期

关键词：

elliptic equations; symmetry breaking; periodic solutions; conjugacy;

D O I：

10.1016/S0022-0396(02)00031-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A topological conjugacy is established between certain elliptic PDEs with one unbounded time direction and a simple second-order differential equation, admitting the dynamics of such PDEs to be examined on a two-dimensional submanifold. By this means, periodic solutions can be obtained to elliptic equations as perturbations of those that are independent of time. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：70 / 92

页数：23

共 10 条

[1]

ARMSTRONG S, 1999, ADV DIFFERENTIAL EQU, V4, P251

[2]

CRANDALL MG, 1975, ARCH RATION MECH AN, V58, P208

[3]

DANCER EN, 1979, J LOND MATH SOC, V20, P287

[4] POSITIVE RADIAL SOLUTIONS AND NONRADIAL BIFURCATION FOR SEMILINEAR ELLIPTIC-EQUATIONS IN ANNULAR DOMAINS [J].