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Liouville theorems and 1-dimensional symmetry for solutions of an elliptic system modelling phase separation
Authors:Nicola Soave  Susanna Terracini
Affiliation:1. Mathematisches Institut, Justus-Liebig-Universität Giessen, Arndtstrasse 2, 35392 Giessen, Germany;2. Dipartimento di Matematica “Giuseppe Peano”, Università di Torino, Via Carlo Alberto, 10, 10123 Torino, Italy
Abstract:
Keywords:Competitive elliptic systems   Classification of entire solutions   Phase separations   Almgren monotonicity formula   Alt&ndash  Caffarelli&ndash  Friedman monotonicity formulae   Liouville theorems
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