19 citations · 116 across the 42 of their papers we have counts for
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math.CA2008
On the Loss of Compactness in the Vectorial Heteroclinic Connection Problem
Nikos Katzourakis
We give an alternative proof of the theorem of Alikakos-Fusco [AF] concerning existence of heteroclinic solutions to a Hamiltonian ODE system on the whole real line which arises in…
math.CA2007★ 1 cited
Heteroclinic Travelling Waves of Gradient Diffusion Systems
N. I. Katzourakis, N. D. Alikakos
We establish existence of travelling waves to the gradient system connecting two minima of when $u : \R \times (0,\infty) \larrow \R^N$, that is, w…