Entire solutions in ${\mathbb{R}}^{2}$ for a class of Allen-Cahn equations
Entire solutions in ${\mathbb{R}}^{2}$ for a class of Allen-Cahn equations
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 …