107 citations · 369 across the 19 of their papers we have counts for
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math.AP2015★ 35 cited
One-dimensional solutions of non-local Allen-Cahn-type equations with rough kernels
Matteo Cozzi, Tommaso Passalacqua
We are interested in the study of local and global minimizers for an energy functional of the type $$ \frac{1}{4} \iint_{\mathbb{R}^{2 N} \setminus \left( \mathbb{R}^N \setminus Ω\…
math.AP2015★ 10 cited
Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium
Matteo Cozzi, Enrico Valdinoci
We consider a non-local phase transition equation set in a periodic medium and we construct solutions whose interface stays in a slab of prescribed direction and universal width. T…