… solutions for the Allen–Cahn equation u + (1 − u2)u = 0, in R2(∼ C). Given k ⩾ 1, we find a
family of solutions … These solutions have the property that there exist θ0 < θ1 < ··· < θ2k = θ0 + …

… solution H, of H = f(H). In this paper we present some recent advances in the theory of …
multiple-end solutions. We begin with the description of the moduli space of such solutions. …

… a new class of entire solutions for the Allen-Cahn equation ∆u + (1 − u2)u = 0, in R2(∼ C). …
, we are now in a position to define a multiple-end approximate solution of (1.1). We start with …

… solution H, of H = f(H). In this paper we present some recent advances in the theory of …
multiple end solutions. We begin with the description of the moduli space of such solutions. …

… equation for graphs with the initial conditions F(1) = 0 and limr→1 Fr(r) = ∞; r = |x|. We construct
an ancient solution to Allen-Cahn equation ut … In particular, we construct a solution of the …

… Many other examples of multiple-end embedded minimal surfaces have been found since;
see for instance [29, 40] and references therein. In general all these surfaces look like parallel …

… systematic study of entire symmetric solutions u : Rn → Rm of the vector Allen–Cahn equation
… of the equilateral triangle, we constructed a solution u : R2 → R2 to system (1.1) such that …

… In this paper, we are interested in entire solutions of (1.1) which are defined in R2 and
which have some special structure at infinity, namely their zero set is, at infinity, asymptotic to 4 …

… We now know that in R2, finite Morse index solutions must … of multiple-end solutions of the
Allen–Cahn equation have … sets of these solutions are very close to graphs of solutions of the …

… asymptotic in different directions to other prescribed solutions has … of multiple end solutions
on R2 for the Allen–Cahn equation was given. Multiple end solutions for Allen–Cahn equation…