P. Bates

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20062015

most citedThe minimal molecular surface

21 citations · 26 across the 3 of their papers we have counts for

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Showing 2014 · math.APShow all

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math.AP2014

Multyphase solutions to the vector Allen-Cahn equation: Crystalline and other complex symmetric structures

Peter W. Bates, Giorgio Fusco, Panayotis Smyrnelis

We present a systematic study of entire symmetric solutions $u : R^{n} \to R^{m}$ of the vector Allen-Cahn equation $Δ u - W_{u} (u) = 0, x \in R^{n}$ , where $W : R^{m} \to R$ is smooth,…