Stationary solutions for the Cahn-Hilliard equation

被引：111
|
作者：
Wei, JC [1 ]
Winter, M
机构：
[1] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong
[2] Univ Stuttgart, Inst Math A, D-70569 Stuttgart, Germany
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1998年 / 15卷 / 04期
关键词：
phase transition; nonlinear elliptic equations;
D O I：
10.1016/S0294-1449(98)80031-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the Cahn-Hilliard equation in a bounded domain without any symmetry assumptions. We assume that the mean curvature of the boundary has a nondegenerate critical point. Then we show that there exists a spike-like stationary solution whose global maximum lies on the boundary. Our method is based on Lyapunov-Schmidt reduction and the Brouwer fixed-point theorem. (C) Elsevier, Paris.
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页码：459 / 492
页数：34
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