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|Title:||Stationary solutions for the Cahn-Hilliard equation|
|Keywords:||Semilinear elliptic equation;Phase transition|
|Citation:||Ann Inst Henri Poincare Anal Non Lineaire 15 (1998), 459-492|
|Abstract:||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 nongenerate 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.|
|Appears in Collections:||Mathematical Science|
Dept of Mathematics Research Papers
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