Entire solutions in for a class of Allen-Cahn equations
Francesca Alessio, Piero Montecchiari (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider a class of semilinear elliptic equations of the form 15.7cm - where , is a periodic, positive function and is modeled on the classical two well Ginzburg-Landau potential . We look for solutions to ([see full textsee full text]) which verify the asymptotic conditions as uniformly with respect to . We show variational methods that if is sufficiently small and is not constant, then ([see full textsee full text]) admits infinitely many of such solutions,...