Browsing by Subject "Morse index"
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(Elsevier, 2015)We consider the Allen–Cahnequation Δu+u(1−u2)=0inR3. We construct two classes of axially symmetric solutions u=u(|x |,x3)suchthat the (multiple) components of the zero set look for large |x |like catenoids, namely|x3|∼Alog|x ...