The nonlocal bistable equation: Stationary solutions on a bounded interval

We discuss instability and existence issues for the nonlocal bistable equation. This model arises as the Euler-Lagrange equation of a nonlocal, van der Waals type functional. Taking the viewpoint of the calculus of variations, we prove that for a class of nonlocalities this functional does not admit...

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Bibliographic Details
Main Authors: Adam J. J. Chmaj, Xiaofeng Ren
Format: Article
Language:English
Published: Texas State University 2002-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2002/02/abstr.html