Asymmetric heteroclinic double layers
Michelle Schatzman (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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Let be a non-negative function of class C from to , which vanishes exactly at two points and . Let (, ) be the set of functions of a real variable which tend to at -∞ and to at +∞ and whose one dimensional energy is finite. Assume that there exist two isolated minimizers and of the energy over (, ). Under a mild coercivity condition on the potential and a generic spectral condition on the linearization...