1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.AP2021
Entire minimizers of Allen-Cahn systems with sub-quadratic potentials
Nicholas D. Alikakos, Dimitrios Gazoulis, Arghir Zarnescu
We study entire minimizers of the Allen-Cahn systems. The specific feature of our systems are potentials having a finite number of global minima, with sub-quadratic behaviour local…
math.AP2011
A new proof for the existence of an equivariant entire solution connecting the minima of the potential for the system Δu - W_u (u) = 0
Nicholas D. Alikakos
Recently, Giorgio Fusco and the author studied the system Δu - W_u (u) = 0 for a class of potentials that possess several global minima and are invariant under a general finite ref…
math.AP2010★ 1 cited
A replacement lemma for obtaining pointwise estimates in phase transition models
Nicholas D. Alikakos, Giorgio Fusco
We establish a replacement lemma for a variational problem, which is not based on a local argument. We then apply it to a phase transition problem and obtain pointwise estimates.