A two end family of solutions for the Inhomogeneous Allen-Cahn equation in R^2

Oscar Agudelo, Andres Zuniga

In this work we construct a family of entire bounded solution for the singulary perturbed Inhomogeneous Allen-Cahn Equation $\ep^2÷\left(a(x)\nabla u\right)-a(x)F'(u)=0$ in ${\mathbb{R}}^2$,…