TITLE

# Heteroclinic connections between nonconsecutive equilibria of a fourth order differential equation

AUTHOR(S)
D. Bonheure; L. Sanchez; M. Tarallo; S. Terracini
PUB. DATE
August 2003
SOURCE
Calculus of Variations & Partial Differential Equations;Aug2003, Vol. 17 Issue 4, p341
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
Assuming that f is a potential having three minima at the same level of energy, we study for the conservative equation $$uï¿½{iv}-g(u)uÃ¢ï¿½?ï¿½>-\frac{1}{2}g'(u)u'ï¿½2+f'(u)=0,$$ the existence of a heteroclinic connection between the extremal equilibria. Our method consists in minimizing the functional $$\int_{-\infty}ï¿½{+\infty}\left[\frac{1}{2}[(uÃ¢ï¿½?ï¿½>{}ï¿½2)+g(u)u'{}ï¿½2]+f(u)\right] dx$$ whose Euler-Lagrange equation is given by (1), in a suitable space of functions.
ACCESSION #
10498927

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